On non-abelian Schur groups
Combinatorics
2014-07-08 v3 Group Theory
Abstract
A finite group G is called Schur, if every Schur ring over G is associated in a natural way with a regular subgroup of Sym(G) that is isomorphic to G. We prove that any nonabelian Schur group G is metabelian and the number of distinct prime divisors of the order of G does not exceed 7.
Cite
@article{arxiv.1310.4460,
title = {On non-abelian Schur groups},
author = {Ilya Ponomarenko and Andrey Vasil'ev},
journal= {arXiv preprint arXiv:1310.4460},
year = {2014}
}
Comments
minor corrections of version 2