Twisted Group Rings Whose Units Form an FC-Group
Rings and Algebras
2008-03-19 v1 Group Theory
Abstract
Let U be the group of units of an infinite twisted group algebra K_\lambda G over a field K. We describe the maximal FC-subgroup of U and give a characterization of U with finitely conjugacy classes. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus' theorem.
Cite
@article{arxiv.0803.2599,
title = {Twisted Group Rings Whose Units Form an FC-Group},
author = {Victor Bovdi},
journal= {arXiv preprint arXiv:0803.2599},
year = {2008}
}
Comments
18 pages