On a filtered multiplicative basis of group algebras

DOI10.1007/PL00000421zbMath0986.20004arXivmath/0009008OpenAlexW2104233604MaRDI QIDQ1973435

Victor A. Bovdi

Publication date: 4 March 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009008

zbMATH Keywords

group algebrasfinite groupsmetacyclic \(p\)-groupsaugmentation idealsdihedral 2-groupsquaternion groupsalgebras of finite representation typefiltered multiplicative bases

Mathematics Subject Classification ID

Group rings (16S34) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

Arbitrary algebras with a multiplicative basis ⋮ Filtered multiplicative bases of restricted enveloping algebras ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ Associative algebras admitting a quasi-multiplicative basis. ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis ⋮ On filtered multiplicative bases of some associative algebras.

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