$p$-subgroups of units in $\mathbb{Z}G$
Rings and Algebras
2016-06-01 v1 Group Theory
Representation Theory
Abstract
We consider the question whether a Sylow like theorem is valid in the normalized units of integral group rings of finite groups. After a short survey on the known results we show that this is the case for integral group rings of Frobenius groups. This completes work of M.A. Dokuchaev, S.O. Juriaans and V. Bovdi and M. Hertweck. We analyze projective linear simple groups and show what can be achieved for p-subgroups with known methods.
Keywords
Cite
@article{arxiv.1605.09599,
title = {$p$-subgroups of units in $\mathbb{Z}G$},
author = {Wolfgang Kimmerle and Leo Margolis},
journal= {arXiv preprint arXiv:1605.09599},
year = {2016}
}
Comments
10 pages