Symmetric units in modular group algebras
Rings and Algebras
2007-11-02 v1 Group Theory
Abstract
Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g\mapsto g\m1 of G extends linearly to an anti-automorphism a\mapsto a^* of KG. An element a of KG is called symmetric if a^*=a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.
Keywords
Cite
@article{arxiv.0711.0096,
title = {Symmetric units in modular group algebras},
author = {V. A. Bovdi and L. G. Kovacs and S. K. Sehgal},
journal= {arXiv preprint arXiv:0711.0096},
year = {2007}
}
Comments
6 pages