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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
| Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (200 pages) |
| Disciplina | 512/.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Associative rings
Abelian groups Functor theory |
| Soggetto non controllato |
Abelian group
Absolute value Addition Algebraic K-theory Algebraic equation Algebraic integer Banach algebra Basis (linear algebra) Big O notation Circle group Coefficient Commutative property Commutative ring Commutator Complex number Computation Congruence subgroup Coprime integers Cyclic group Dedekind domain Direct limit Direct proof Direct sum Discrete valuation Division algebra Division ring Elementary matrix Elliptic function Exact sequence Existential quantification Exterior algebra Factorization Finite group Free abelian group Function (mathematics) Fundamental group Galois extension Galois group General linear group Group extension Hausdorff space Homological algebra Homomorphism Homotopy Ideal (ring theory) Ideal class group Identity element Identity matrix Integral domain Invertible matrix Isomorphism class K-theory Kummer theory Lattice (group) Left inverse Local field Local ring Mathematics Matsumoto's theorem Maximal ideal Meromorphic function Monomial Natural number Noetherian Normal subgroup Number theory Open set Picard group Polynomial Prime element Prime ideal Projective module Quadratic form Quaternion Quotient ring Rational number Real number Right inverse Ring of integers Root of unity Schur multiplier Scientific notation Simple algebra Special case Special linear group Subgroup Summation Surjective function Tensor product Theorem Topological K-theory Topological group Topological space Topology Torsion group Variable (mathematics) Vector space Wedderburn's theorem Weierstrass function Whitehead torsion |
| ISBN | 1-4008-8179-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index |
| Record Nr. | UNINA-9910154752203321 |
Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth
| Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth |
| Autore | Neuwirth Lee Paul |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (352 pages) : illustrations |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Knot theory
Group theory Three-manifolds (Topology) |
| Soggetto non controllato |
3-manifold
3-sphere Additive group Alexander duality Algebraic equation Algebraic surface Algebraic variety Automorphic form Automorphism Big O notation Bilinear form Borromean rings Boundary (topology) Braid group Cartesian product Central series Chain rule Characteristic polynomial Coefficient Cohomological dimension Commutative ring Commutator subgroup Complex Lie group Complex coordinate space Complex manifold Complex number Conjugacy class Connected sum Coprime integers Coset Counterexample Cyclic group Dedekind domain Diagram (category theory) Diffeomorphism Disjoint union Divisibility rule Double coset Equation Equivalence class Euler characteristic Fiber bundle Finite group Fundamental group Generating set of a group Graded ring Graph product Group ring Group theory Groupoid Heegaard splitting Holomorphic function Homeomorphism Homological algebra Homology (mathematics) Homology sphere Homomorphism Homotopy group Homotopy sphere Homotopy Hurewicz theorem Infimum and supremum Integer matrix Integer Intersection number (graph theory) Intersection theory Knot group Knot polynomial Loop space Main diagonal Manifold Mapping cylinder Mathematical induction Meromorphic function Monodromy Monomorphism Multiplicative group Permutation Poincaré conjecture Principal ideal domain Proportionality (mathematics) Quotient space (topology) Riemann sphere Riemann surface Seifert fiber space Simplicial category Special case Spectral sequence Subgroup Submanifold Surjective function Symmetric group Symplectic matrix Theorem Three-dimensional space (mathematics) Topology Torus knot Triangle group Variable (mathematics) Weak equivalence (homotopy theory) |
| ISBN | 1-4008-8151-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION / Neuwirth, L. -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS / Goldsmith, Deborah L. -- KNOT MODULES / Levine, Jerome -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS / Lomonaco, S. J . -- OCTAHEDRAL KNOT COVERS / Perko, Kenneth A. -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS / Trotter, H. F . -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS / Whitten, Wilbur -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER / Cossey, John / Smythe, N. -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING / Stallings, John R. -- KNOT-LIKE GROUPS / Strasser, Elvira Rapaport -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS / Birman, Joan S. -- BRANCHED CYCLIC COVERINGS / Cappell, Sylvain E. / Shaneson, Julius L. -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) / Milnor, John -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 / Montesinos, Jose M. -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES / Papakyriakopoulos, C. D. -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS / Shalen, Peter B. -- Backmatter |
| Record Nr. | UNINA-9910154752003321 |
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Neuwirth Lee Paul
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
| Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz |
| Autore | Shatz Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homology theory
Finite groups Algebraic number theory |
| Soggetto non controllato |
Abelian group
Alexander Grothendieck Algebraic closure Algebraic extension Algebraic geometry Algebraic number field Brauer group Category of abelian groups Category of sets Characterization (mathematics) Class field theory Cohomological dimension Cohomology Cokernel Commutative diagram Composition series Computation Connected component (graph theory) Coset Cup product Dedekind domain Degeneracy (mathematics) Diagram (category theory) Dimension (vector space) Diophantine geometry Discrete group Equivalence of categories Exact sequence Existential quantification Explicit formula Exponential function Family of sets Field extension Finite group Fundamental class G-module Galois cohomology Galois extension Galois group Galois module Galois theory General topology Geometry Grothendieck topology Group cohomology Group extension Group scheme Group theory Hilbert symbol Hopf algebra Ideal (ring theory) Inequality (mathematics) Injective sheaf Inner automorphism Inverse limit Kummer theory Lie algebra Linear independence Local field Mathematical induction Mathematician Mathematics Module (mathematics) Morphism Natural topology Neighbourhood (mathematics) Normal extension Normal subgroup Number theory P-adic number P-group Polynomial Pontryagin duality Power series Prime number Principal ideal Profinite group Quadratic reciprocity Quotient group Ring of integers Sheaf (mathematics) Special case Subcategory Subgroup Supernatural number Sylow theorems Tangent space Theorem Topological group Topological property Topological ring Topological space Topology Torsion group Torsion subgroup Transcendence degree Triviality (mathematics) Unique factorization domain Variable (mathematics) Vector space |
| ISBN | 1-4008-8185-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154751103321 |
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Shatz Stephen S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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