The Grothendieck group of a finite group which is a split extension by a nilpotent group

DOI10.3836/tjm/1270153004zbMath0548.16008OpenAlexW2025762182MaRDI QIDQ799770

Tadashi Mitsuda

Publication date: 1984

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270153004

zbMATH Keywords

Grothendieck groupsfinite groupcomplementmaximal orderclass sumcentrally primitive idempotentsintegral nilpotent group ringsmeta-cyclic groupsnormal nilpotent subgroup

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) Conditions on elements (16U99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Products of subgroups of abstract finite groups (20D40) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items (1)

Higher \(K'\)-groups of integral group rings

This page was built for publication: The Grothendieck group of a finite group which is a split extension by a nilpotent group