Groups whose prime graph on class sizes has a cut vertex

被引：0

作者：

Silvio Dolfi

Emanuele Pacifici

Lucia Sanus

Víctor Sotomayor

机构：

[1] U. Dini Università degli Studi di Firenze,Dipartimento di Matematica e Informatica

[2] Universitat de València,Departament de Matemàtiques, Facultat de Matemàtiques

[3] Universitat Politècnica de València,Instituto Universitario de Matemática Pura y Aplicada (IUMPA

来源：

Israel Journal of Mathematics | 2021年 / 244卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group, and let Δ(G) be the prime graph built on the set of conjugacy class sizes of G: this is the simple undirected graph whose vertices are the prime numbers dividing some conjugacy class size of G, two vertices p and q being adjacent if and only if pq divides some conjugacy class size of G. In the present paper, we classify the finite groups G for which Δ(G) has a cut vertex.

引用

页码：775 / 805

页数：30

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