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A subgraph of conjugacy class graph of finite groups

Abstract

Let G be a finite group and let G* be the set of elements of prime power order of G. Let Г(G*) denote the prime graph built on the set of conjugacy class sizes of G*. In this paper, we consider the situation when Г(G*) has some special vertices, and our aim is to investigate the influence of this property on the group structure of G. Mathematics Subject Classification: 20D15, 20E45

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