English

On the order of the unitary subgroup of modular group algebra

Rings and Algebras 2007-05-23 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.math/0009033,
  title  = {On the order of the unitary subgroup of modular group algebra},
  author = {Victor Bovdi and A. L. Rosa},
  journal= {arXiv preprint arXiv:math/0009033},
  year   = {2007}
}

Comments

9 pages, AMS-TeX