Algebraic K-theory II: classical algebraic K-theory and connections with arithmetic/ Hyman Bass

By: Bass,HymanMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag), 342Publication details: New York : Springer, 1973Description: xv,527p. : 25cmISBN: 3540064354Subject(s): Algebra | Homological Algebra | Number TheoryDDC classification: 512.66
Contents:
Some problems in "classical" algebraic K-theory.- Comparison of algebraic and topological K-theory.- Applications algebriques du tore dans la sphere et de Sp × Sq dans Sp+q.- On the Ko of certain polynomial extensions.- K0 and K1 of polynomial rings.- Base change for K0 of algebraic varieties.- On free product of rings and the coherence property.- Whitehead groups of free products with amalgamation.- Whitehead groups of generalized free products.- Contributions to the theory of induced representations.- The functor K2: A survey of computations and problems.- Variations on Milnor's computation of K2Z.- Decomposition formula of laurent extension in algebraic K-theory and the role of codimension 1 submanifold in topology.- Pseudo-isotopy and K2.- Suspension, automorphisms, and division algebras.- The Milnor ring of a global field.- On the quaternion symbol homomorphism gF: k2F?B(F).- On the torsion in K2 of local fields.- Continuous symbols on fields of formal power series.- Values of zeta-functions, étale cohomology, and algebraic K-theory.- "K-theory and Iwasawa's analogue of the Jacobian".- Research problems: Arithmetic cuestions in K-theory.- Letter from tate to Iwasawa on a relation between K2 and galois cohomology.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section
512.66 BAS/A (Browse shelf(Opens below)) Available P39977
Total holds: 0

Some problems in "classical" algebraic K-theory.-
Comparison of algebraic and topological K-theory.-
Applications algebriques du tore dans la sphere et de Sp × Sq dans Sp+q.-
On the Ko of certain polynomial extensions.-
K0 and K1 of polynomial rings.-
Base change for K0 of algebraic varieties.-
On free product of rings and the coherence property.-
Whitehead groups of free products with amalgamation.-
Whitehead groups of generalized free products.-
Contributions to the theory of induced representations.-
The functor K2: A survey of computations and problems.-
Variations on Milnor's computation of K2Z.-
Decomposition formula of laurent extension in algebraic K-theory and the role of codimension 1 submanifold in topology.-
Pseudo-isotopy and K2.-
Suspension, automorphisms, and division algebras.-
The Milnor ring of a global field.-
On the quaternion symbol homomorphism gF: k2F?B(F).-
On the torsion in K2 of local fields.-
Continuous symbols on fields of formal power series.-
Values of zeta-functions, étale cohomology, and algebraic K-theory.-
"K-theory and Iwasawa's analogue of the Jacobian".-
Research problems: Arithmetic cuestions in K-theory.-
Letter from tate to Iwasawa on a relation between K2 and galois cohomology.

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