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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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Shatz Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui