Symmetric subgroups in modular group algebras
Rings and Algebras
2008-01-08 v1 Group Theory
Abstract
Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as subgroups invariant under the action of the classical involution of the group algebra KG. We study properties of symmetric subgroups and construct a counterexample to the conjecture by V.Bovdi, which states that V(KG)=<G,S*>, where S* is a set of symmetric units of V(KG).
Keywords
Cite
@article{arxiv.0801.0809,
title = {Symmetric subgroups in modular group algebras},
author = {A. B. Konovalov and A. G. Krivokhata},
journal= {arXiv preprint arXiv:0801.0809},
year = {2008}
}
Comments
5 pages, translated from original journal publication in Russian