On non-abelian Schur groups

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.

minor corrections of version 2

Cited by in corpus (1)

• On Schur p-groups of odd order