Groups with the Same Prime Graph as the Simple Gro

Authors: A Babai B Khosravi

Publish Date: 2014/11/20

Volume: 66, Issue: 5, Pages: 666-677

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Abstract

Let G be a finite group The prime graph of G is denoted by ΓG Let G be a finite group such that ΓG = ΓD n 5 where n ≥ 6 In the paper as the main result we show that if n is odd then G is recognizable by the prime graph and if n is even then G is quasirecognizable by the prime graph

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