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On a Filtered Multiplicative Bases of Group Algebras II

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Abstract

We 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 prove that such a K-basis does not exist for the group algebra KG, in the case when G is either a non-Abelian powerful p-group or a two generated p-group (p≠2) with a central cyclic commutator subgroup. This paper is a continuation of the paper which appeared in Arch. Math. (Basel) 74 (2000), 217–285.

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  1. Institute of Mathematics and Informatics, University of Debrecen, P.O. Box 12, H-4010, Debrecen, Hungary

    Victor Bovdi

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  1. Victor Bovdi
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Bovdi, V. On a Filtered Multiplicative Bases of Group Algebras II. Algebras and Representation Theory 6, 353–368 (2003). https://doi.org/10.1023/A:1025168211902

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