The Grothendieck ring of invertible modules over nilpotent groups

DOI10.1006/JABR.1993.1164zbMath0798.20001OpenAlexW2035552602MaRDI QIDQ1324183

Esther Beneish

Publication date: 3 November 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1164

zbMATH Keywords

generatorsdirect summandsfinite groupGrothendieck ring\(p\)-elementary subgroupsinvertible \(ZG\)- modulesnilpotent of odd orderpermutation \(ZG\)-module

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (K_0) of group rings and orders (19A31)

Related Items (3)

Monomial actions of the symmetric group. ⋮ Lattices over cyclic groups and Noether settings ⋮ Induction theorems on the stable rationality of the center of the ring of generic matrices

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