On the order of the unitary subgroup of modular group algebra

2000/09/04 by Victor Bovdi, A. L. Rosa
Mathematics · #math.RA #math.GR #msc:20C07 #msc:16N34

paper · pdf

published as Communications in Algebra 28(4) (2000), 1897--1905 · 9 pages, AMS-TeX

arxiv created 2000/09/04 · arxiv updated 2009/11/30

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 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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