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On non-abelian Schur groups

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Type
Published Article
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Submission Date
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DOI: 10.1142/S0219498814500558
Source
arXiv
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Yellow
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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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