Finite simple groups with short Galois orbits on conjugacy classes
Group Theory
2019-06-04 v2 Rings and Algebras
Representation Theory
Abstract
All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups for which the normalized group of central units of the integral group ring ZG is an infinite cyclic group.
Cite
@article{arxiv.1810.07421,
title = {Finite simple groups with short Galois orbits on conjugacy classes},
author = {Victor Bovdi and Thomas Breuer and Attila Maróti},
journal= {arXiv preprint arXiv:1810.07421},
year = {2019}
}
Comments
15 pages. Expanded version