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On non-abelian Schur groups

Authors
  • Ponomarenko, Ilya
  • Vasil'ev, Andrey
Type
Published Article
Publication Date
Jul 05, 2014
Submission Date
Oct 16, 2013
Identifiers
DOI: 10.1142/S0219498814500558
Source
arXiv
License
Yellow
External links

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.

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