On the order of the unitary subgroup of a modular group algebra |
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| Authors: | Victor Bovdi A.L. Rosa |
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| Affiliation: | 1. Lajos Kossuth University , H-410 Debrecen, P.O. Box 12, Hungary E-mail: vbovdi@math.klte.hu;2. Universidade Federal de Ouro Preto , Ouro Preto, MG, 35400-000, Brasil E-mail: alrosa@icebserver.iceb.ufop.br |
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| Abstract: | Let KG be a group algebra of a finite p-group G over a finite field Kof characteristic p. We compute the order of the unitary subgroup of the group of units when G is either an extraspecial 2-group or the central product of such a group with a cyclic group of order 4 or G has an abelian subgroup A of index 2 and an element b such that b inverts each element of A. |
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| Keywords: | Primary 20C07 16S34 |
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