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Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910479974303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910788658503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors
| Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Algebraic
Geometry, Affine |
| ISBN | 0-8218-7959-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)""; ""Purely inseparable k-forms of affine algebraic curves""; ""Generic fibrations by A1 and A* over discrete valuation rings""; ""Hesse and the Jacobian Conjecture""; ""Bad field generators""; ""Coordinates in ideals of polynomial algebras""; ""On the uniqueness of C*-actions on affine surfaces""; ""On two recent views of the Jacobian Conjecture""; ""Singularities on normal affine 3-folds containing A1-cylinderlike open subsets""; ""Free c+ -actions on affine threefolds""
""Again x + x2y + z2 + t3 = 0""""Equivariant cancellation for algebraic varieties""; ""Constructing polynomial mappings using non-commutative algebras""; ""On the generic curve of genus 3""; ""Orders of points on elliptic curves""; ""Test polynomials, retracts, and the Jacobian conjecture""; ""The Jacobian Conjecture: ideal membership questions and recent advances""; ""1. The Jacobian Conjecture""; ""2. Ideals Defining the Jacobian Condition""; ""3. Formulas for the Formal Inverse""; ""4. Ideal Membership Results""; ""References"" |
| Record Nr. | UNINA-9910827557903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2263-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910480248303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| ISBN | 1-4704-2263-8 |
| Classificazione | 20-XX68-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910797015603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors
| Algorithmic problems of group theory, their complexity, and applications to cryptography / / Delaram Kahrobaei, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (123 p.) |
| Disciplina | 652/.8015122 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Group theory
Noncommutative algebras Algorithms Data encryption (Computer science) Cryptography Algebra |
| ISBN | 1-4704-2263-8 |
| Classificazione | 20-XX68-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Secret sharing using non-commutative groups and the shortlex order""; ""1. Introduction""; ""2. Formal Definition""; ""3. Shamir�s Secret Sharing Scheme""; ""4. Secret Sharing Using Non-commutative Groups""; ""5. Updating Relators""; ""6. Conclusion""; ""References""; ""An algorithm that decides conjugacy in a certain generalized free product""; ""1. Introduction""; ""2. Preliminaries""; ""3. The Algorithm""; ""References""; ""Classification of automorphic conjugacy classes in the free group on two generators""; ""1. Introduction""
""2. The graph Î?( )""""3. Non-root classes""; ""4. Root classes""; ""5. Enumeration""; ""Appendix A. Table of automorphic conjugacy classes""; ""Appendix B. Number of automorphic conjugacy classes of each type""; ""Appendix C. Number of paths of each size""; ""Acknowledgement""; ""References""; ""On elementary free groups""; ""1. Introduction""; ""2. The Tarski Problems and Elementary Free Groups""; ""3. Surface Groups and Magnusâ€? Theorem""; ""4. Cyclic Centralizers and Commuting Elements""; ""5. Hyperbolicity and Stable Hyperbolicity""; ""6. The Retract Theorem and Turner Groups"" ""7. Conjugacy Separability of Elementary Free Groups""""8. Tame Automorphisms of Elementary Free Groups""; ""9. Faithful Representations in (2,\C)""; ""References""; ""An application of a localized version of an axiom of Ian Chiswell""; ""1. Introduction""; ""2. Questions""; ""References""; ""A note on Stallingsâ€? pregroups""; ""1. Introduction""; ""2. Adds, Prees and Pregroups""; ""3. Kushnerâ€?s Generalization of a Pregroup. T2-prees""; ""4. Axiom [GLS2]""; ""5. Generalizations""; ""References""; ""A CCA secure cryptosystem using matrices over group rings"" ""1. Cramer-Shoup cryptosystem""""2. A CCA-2 secure cryptosystem using matrices over group rings""; ""3. Adaptive CCA security for matrices over group rings""; ""References""; ""The MOR cryptosystem and finite -groups""; ""1. Introduction""; ""2. Definitions and notations""; ""3. The MOR cryptosystem""; ""4. MOR cryptosystems on finite -groups using ′-automorphisms""; ""5. The MOR cryptosystem and elementary abelian -group""; ""6. The extra-special -groups and its automorphism group""; ""7. MOR cryptosystems on finite -groups using -automorphisms""; ""8. Conclusion"" ""4. Open problems"" |
| Record Nr. | UNINA-9910826587203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors
| Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Group theory - Data processing
Finite groups - Data processing Combinatorial group theory - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7888-3
0-8218-3158-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Uniform growth, actions on trees and GL2""; ""Centralisers of involutions in black box groups""; ""Measuring sets in infinite groups""; ""1. Introduction""; ""2. Conditions on a measure""; ""3. Atomic probability measures""; ""4. Kolmogorov complexity functions""; ""5. Kolmogorov complexity functions on finitely generated groups""; ""6. Short elements bias and behaviour at infinity""; ""7. Degrees of polynomial growth ""on average""""; ""8. Measures generated by random walks""; ""9. Behaviour of the induced measures on finite factor groups""
""10. The growth function and asymptotic density""""References""; ""Quantum one-way automata and finitely generated groups""; ""Spectral properties of a torsion-free weakly branch group defined by a three state automaton""; ""Malnormal subgroups of free groups""; ""Variants of product replacement""; ""Weakly amenable groups""; ""The Knuth-Bendix procedure for strings and large rewriting systems"" |
| Record Nr. | UNINA-9910480457903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors
| Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Group theory - Data processing
Finite groups - Data processing Combinatorial group theory - Data processing |
| ISBN |
0-8218-7888-3
0-8218-3158-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Uniform growth, actions on trees and GL2""; ""Centralisers of involutions in black box groups""; ""Measuring sets in infinite groups""; ""1. Introduction""; ""2. Conditions on a measure""; ""3. Atomic probability measures""; ""4. Kolmogorov complexity functions""; ""5. Kolmogorov complexity functions on finitely generated groups""; ""6. Short elements bias and behaviour at infinity""; ""7. Degrees of polynomial growth ""on average""""; ""8. Measures generated by random walks""; ""9. Behaviour of the induced measures on finite factor groups""
""10. The growth function and asymptotic density""""References""; ""Quantum one-way automata and finitely generated groups""; ""Spectral properties of a torsion-free weakly branch group defined by a three state automaton""; ""Malnormal subgroups of free groups""; ""Variants of product replacement""; ""Weakly amenable groups""; ""The Knuth-Bendix procedure for strings and large rewriting systems"" |
| Record Nr. | UNINA-9910788658003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors
| Computational and statistical group theory : AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey / / Robert Gilman, Vladimir Shpilrain, Alexei G. Myasnikov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Group theory - Data processing
Finite groups - Data processing Combinatorial group theory - Data processing |
| ISBN |
0-8218-7888-3
0-8218-3158-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Uniform growth, actions on trees and GL2""; ""Centralisers of involutions in black box groups""; ""Measuring sets in infinite groups""; ""1. Introduction""; ""2. Conditions on a measure""; ""3. Atomic probability measures""; ""4. Kolmogorov complexity functions""; ""5. Kolmogorov complexity functions on finitely generated groups""; ""6. Short elements bias and behaviour at infinity""; ""7. Degrees of polynomial growth ""on average""""; ""8. Measures generated by random walks""; ""9. Behaviour of the induced measures on finite factor groups""
""10. The growth function and asymptotic density""""References""; ""Quantum one-way automata and finitely generated groups""; ""Spectral properties of a torsion-free weakly branch group defined by a three state automaton""; ""Malnormal subgroups of free groups""; ""Variants of product replacement""; ""Weakly amenable groups""; ""The Knuth-Bendix procedure for strings and large rewriting systems"" |
| Record Nr. | UNINA-9910828539903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group theory, statistics, and cryptography : AMS Special Session, Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University / / Alexei G. Myasnikov, Vladimir Shpilrain, editors
| Group theory, statistics, and cryptography : AMS Special Session, Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University / / Alexei G. Myasnikov, Vladimir Shpilrain, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (186 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Group theory
Mathematical statistics Cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7950-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""On power- and commutation transitive, power commutative, and restricted Gromov groups""; ""Braid-based cryptography""; ""1. Background on braids""; ""1.1. Braid groups""; ""1.2. The greedy normal form""; ""1.3. Implementation of braids""; ""2. Braid-based schemes""; ""2.1. Key exchange""; ""2.2. Enciphering�deciphering""; ""2.3. Authentication""; ""2.4. Signature""; ""3. Attacks against the braid schemes""; ""3.1. Solutions to the Conjugacy Problem""; ""3.2. Attacks based on length""; ""3.3. Attacks based on linear representations""
""3.4. Are these attacks dangerous?""""4. Clues for further research""; ""4.1. Key generation""; ""4.2. Random drawing and security proofs""; ""4.3. Using braid words and braid reduction""; ""4.4. Hash functions""; ""4.5. Resorting to other braid problems""; ""5. Conclusion""; ""Discriminating and squarelike groups I: Axiomatics""; ""The density of small words in a free group is 0""; ""Braid groups and Aut(F2) are not rigid""; ""On varieties of groups in which all periodic groups are abelian""; ""Subgroups of fully residually free groups: algorithmic problems""; ""1. Introduction"" ""2. Preliminaries""""3. Intersection of two finitely generated subgroups of FZ[t]""; ""4. Properties of intersections of finitely generated subgroups of FZ[t]""; ""5. Centralizers in finitely generated fully residually free groups""; ""6. Conjugacy problem in finitely generated subgroups of FZ[t]""; ""References""; ""Weak hyperbolicity and free constructions""; ""Some properties of the conjugacy class growth function""; ""Boundary test elements""; ""Geodesics in the braid group on three strands""; ""Remarks on the growth of inverse semigroups"" ""Assessing security of some group based cryptosystems"" |
| Record Nr. | UNINA-9910480987303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
