Zassenhaus conjecture for cyclic-by-abelian groups
Representation Theory
2012-02-20 v1 Group Theory
Rings and Algebras
Abstract
Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of rational group algebra QG. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. We prove the conjecture for cyclic-by-abelian groups.
Cite
@article{arxiv.1202.3877,
title = {Zassenhaus conjecture for cyclic-by-abelian groups},
author = {Mauricio Caicedo and Leo Margolis and Ángel del Río},
journal= {arXiv preprint arXiv:1202.3877},
year = {2012}
}
Comments
16 pages