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

Bódi, Viktor and Rosa, A. L. (2000) On the order of the unitary subgroup of a modular group algebra. Communications in Algebra, 28 (4). pp. 1897-1905. ISSN 0092-7872 (print), 1532-4125 (online)

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Abstract

Let KG be a group algebra of a finite p-group G over a finite field K of characteristic p. We compute the order of the unitary subgroup of the group of units when G is either an extraspecial a-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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