Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras)

DOI10.1016/0021-8693(85)90098-5zbMath0603.12007OpenAlexW1976458993MaRDI QIDQ1082372

Philippe Cassou-Noguès, Martin J. Taylor

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90098-5

zbMATH Keywords

Galois cohomologyclass groupsGrothendieck groupexterior powersAdams operations\(\ell \)-adic logarithmsCartan homomorphismStickelberger-type relations

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Galois cohomology (11S25) Galois cohomology (12G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Grothendieck groups (category-theoretic aspects) (18F30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Galois cohomology (11R34)

Related Items

Galois structure in weakly ramified extensions of \(\mathbb Q\) ⋮ On arithmetically realizable classes ⋮ On the square root of the inverse different ⋮ The Grothendieck-Riemann-Roch theorem for group scheme actions ⋮ The Galois structure of the square root of the inverse different ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification ⋮ Self-dual integral normal bases and Galois module structure ⋮ Adams operations and fixed point theorems in \(K\)-theory of group algebras

Cites Work

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• Module de Frobenius et structure galoisienne des anneaux d'entiers
• On Fröhlich's conjecture for rings of integers of tame extensions
• S-groupes des classes d'un ordre arithmétique
• A logarithmic approach to classgroups of integral group rings
• Opérations d'Adams en théorie des représentations linéaires des groupes finis
• Fine structure of class groups of cyclic p-groups
• The exponent of class groups
• Galois module structure of elementary abelian extensions
• The Grothendieck ring of a finite group
• Structure Galoisienne Des Anneaux D'entiers
• $SK_1$ for finite group rings: II.
• Norms of Units in Group Rings
• Arithmetic and Galois module structure for tame extensions.

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