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
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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.
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页码：775 / 805
页数：30
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