On a Filtered Multiplicative Bases of Group Algebras II |
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Authors: | Victor Bovdi |
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Affiliation: | (1) Institute of Mathematics and Informatics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary |
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Abstract: | We give an explicit list of all p-groups G with a cyclic subgroup of index p2, 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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Keywords: | group algebras filtered multiplicative basis finite-dimensional algebras |
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