On a filtered multiplicative basis of group algebras

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dc.creatorBovdi, Victor
dc.date2000-09-01
dc.date.accessioned2026-07-07T04:37:06Z
dc.date.available2026-07-07T04:37:06Z
dc.descriptionLet $K$ be a field of characteristic $p$ and $G$ a nonabelian metacyclic finite $p$-group. We give an explicit list of all metacyclic $p$-groups $G$, such that the group algebra $KG$ over a field of characteristic $p$ has a filtered multiplicative $K$-basis. We also present an example of a non-metacyclic 2-group $G$, such that the group algebra $KG$ over any field of characteristic 2 has a filtered multiplicative $K$-basis.
dc.description10 pages, AMS-TeX
dc.identifierhttps://arxiv.org/abs/math/0009008
dc.identifierhttp://arxiv.org/abs/math/0009008
dc.identifierArch. Math. 74 (2000), 81--88
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59837
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subjectPrimary 1646A, 16A26, 20C05. Secondary 19A22
dc.titleOn a filtered multiplicative basis of group algebras
dc.typetext

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