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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Received: 10.11.1998
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Bovdi, V. On a filtered multiplicative basis of group algebras. Arch. Math. 74, 81–88 (2000). https://doi.org/10.1007/PL00000421
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DOI: https://doi.org/10.1007/PL00000421