arXiv math/00090332000-09-04math.RAmath.GR

On the order of the unitary subgroup of modular group algebra

Victor Bovdi, A. L. Rosa

备注：: 9 pages, AMS-TeX
发表信息：: Communications in Algebra 28(4) (2000), 1897--1905

英文摘要：

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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