On filtered multiplicative bases of group algebras II

dc.creatorBovdi, Victor
dc.date2001-02-13
dc.date.accessioned2026-07-07T04:40:08Z
dc.date.available2026-07-07T04:40:08Z
dc.descriptionWe give an explicit list of all p-groups G with a cyclic subgroup of index p^2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group algebra KG, in the case when G$ is either a powerful p-group or a two generated p-group (p\not=2) with a central cyclic commutator subgroup. This paper is a continuation of the related V. Bovdi, On a filtered multiplicative basis of the group algebras Arch. Math. (Basel) 74 (2000) 81--88
dc.description15 pages, AMS-TeX. Appear to Algebras and Representation Theory
dc.identifierhttps://arxiv.org/abs/math/0102101
dc.identifierhttp://arxiv.org/abs/math/0102101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60935
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subjectPrimary 16A46, 16A26, 20C05. Secondary 19A22
dc.titleOn filtered multiplicative bases of group algebras II
dc.typetext

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