On a filtered multiplicative basis of group algebras

Bódi, Viktor (2000) On a filtered multiplicative basis of group algebras. Archiv der Mathematik, 74 (2). pp. 81-88. ISSN 0003-889X (print), 1420-8938 (online)

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Abstract

Let 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.

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