On a filtered multiplicative basis of group algebras

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10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)81-88
Number of pages8
JournalArchiv der Mathematik
Volume74
Issue number2
DOIs
Publication statusPublished - Feb 1 2000
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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