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Original Articles

On the order of the unitary subgroup of a modular group algebra

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Pages 1897-1905 | Received 01 Feb 1999, Published online: 27 Jun 2007
 

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.

1991 Mathematics Subject Classification:

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