A Sylow theorem for the integral group ring of PSL(2,q)
Rings and Algebras
2015-09-18 v3 Group Theory
Abstract
For G = PSL(2,p^f) denote by ZG the integral group ring, by V(ZG) the group of normalized units of ZG and let r be a prime different from p. Using the so called HeLP-method we prove, that units of r-power order in V(ZG) are rationally conjugate to elements of G. As a consequence we prove, that subgroups of prime power order in V(ZG) are rationally conjugate to subgroups of G, provided p = 2 or f =1.
Keywords
Cite
@article{arxiv.1408.6075,
title = {A Sylow theorem for the integral group ring of PSL(2,q)},
author = {Leo Margolis},
journal= {arXiv preprint arXiv:1408.6075},
year = {2015}
}
Comments
14 pages