On the order of the unitary subgroup of modular group algebra

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

2000-09-04

arxiv.org/abs/math/0009033v1

Communications in Algebra 28(4) (2000), 1897--1905

Mathematics

Rings and Algebras

9 pages, AMS-TeX

Scientific paper

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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