Groups with triangle-free graphs on p-regular classes

被引：0

作者：

Felipe, M. J. ^{[1
]}

Jean-Philippe, M. K. ^{[2
,3
]}

Sotomayor, V. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada IUMPA UPV, Camino Vera S-N, Valencia 46022, Spain

[2] Inst Tecnol Santo Domingo INTEC, Dept Matemat, Santo Domingo, Dominican Rep

[3] Univ Autonoma Santo Domingo UASD, Santo Domingo, Dominican Rep

来源：

MATHEMATISCHE NACHRICHTEN | 2025年 / 298卷 / 06期

关键词：

conjugacy classes; common divisor graph; finite groups; p-regular elements; triangle-free graph; FINITE-GROUPS;

D O I：

10.1002/mana.202400554

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime. In this paper, we classify the p-structure of those finite p-separable groups such that, given any three non-central conjugacy classes of p-regular elements, two of them necessarily have coprime lengths.

引用

页码：1796 / 1807

页数：12

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