On the diameter of a p-regular conjugacy class graph of finite groups II

被引：4

作者：

Beltrán, A ^{[1
]}

Felipe, MJ

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[2] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 09期

关键词：

conjugacy class; p-regular elements; graph;

D O I：

10.1081/AGB-120022799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite p-solvable group. Let us consider the graph Gamma(p)*(G) whose vertices are the primes which Occur as the divisors of the conjugacy classes of p-regular elements of G and two primes are joined by an edge if there exists such a class whose size is divisible by both primes. Suppose that Gamma(p)*(G) is a connected graph, then we prove that the diameter of this graph is at most 3 and this is the best bound.

引用

页码：4393 / 4403

页数：11

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[7]

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