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Record Nr. |
UNINA9910455500303321 |
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Titolo |
Aspects of infinite groups [[electronic resource] ] : a festschrift in honor of Anthony Gaglione / / editors Benjamin Fine, Gerhard Rosenberger, Dennis Spellman |
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Pubbl/distr/stampa |
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Hackensack, N.J., : World Scientific, c2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (253 p.) |
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Collana |
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Algebra and discrete mathematics, , 1793-5873 ; ; v. 1 |
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Altri autori (Persone) |
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GaglioneAnthony M |
FineBenjamin <1948-> |
RosenbergerGerhard |
SpellmanDennis <1945-> |
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Disciplina |
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Soggetti |
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Infinite groups |
Representations of groups |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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6. Formal Power Series Rings and the Magnus Representation7. Relations on the Variables; 8. References; On the Derived Subgroups of the Free Nilpotent Groups of Finite Rank R. D. Blyth, P. Moravec and R. F. Morse; 1. Introduction; 2. The Derived Subgroup of a Free Nilpotent Group; 3. Application; Acknowledgements; References; A Recurrence Relation for the Number of Free Subgroups in Free Products of Cyclic Groups T. Camps, M. Darfer and G. Rosenberger; 1. Introduction; 2. Preliminaries; 3. The Main Results; 4. Examples; References |
The Baumslag-Solitar Groups: A Solution for the Isomorphism Problem A. E. Clement1. Introduction; 2. Notation; 3. The proof of Theorem 1.1; Acknowledgments; References; Unification Theorems in Algebraic Geometry E. Daniyarova, A. Myasnikov and V. Remeslennikov; CONTENTS; 1. Introduction; 2. Preliminaries; 2.1. Languages and structures; 2.2. Theories; 3. Algebras; 3.1. Congruences; 3.2. Quasivarieties; 3.3. Universal closures; 3.4. A-Algebras; 4. Types, Zariski topology, and coordinate algebras; 4.1. Quantifier-free types and Zariski topology; 4.2. Coordinate algebras and complete types |
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4.3. Equationally Noetherian algebras5. Limit algebras; 5.1. Direct systems of formulas and limit algebras; 5.2. Limit A-algebras; 6. Unification Theorems; References; Reflections on Commutative Transitivity B. Fine and G. Rosenberger; 1. Introduction; 2. Commutative Transitivity and Commutative Transitive Groups; 3. Commutative Transitivity, CSA and Universally Free Groups; 4. The Commutative Transitive Kernel; 5. RG Groups and a Classification of One-Relator CT Groups; 6. Commutative Transitivity and Discriminating Groups; 7. An Extension of Commutative Thansitivity; 8. References |
Groups Universally Equivalent to Free Burnside Groups of Prime Exponent and a Question of Philip Hall A. Gaglione, S. Lipschutz and D. Spellman |
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Sommario/riassunto |
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This book is a festschrift in honor of Professor Anthony Gaglione's sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory. |
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