Involutions in finite simple groups as products of conjugates

被引：0

作者：

Dona, Daniele ^{[1
]}

Liebeck, Martin W. ^{[2
,3
]}

Rekvenyi, Amilla ^{[2
]}

机构：

[1] Alfred Reny Inst Math, Budapest, Hungary

[2] Imperial Coll London, London, England

[3] Imperial Coll London, 180 Queens Gate, London SW7 2AZ, England

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

Cayley graphs; conjugacy classes; finite simple groups; involutions; BOUNDS;

D O I：

10.1080/00927872.2024.2328803

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and Gamma C the Cayley graph of G based on C boolean OR C-1 . Our main result shows that in any such graph, there is an involution at bounded distance from the identity.

引用

页码：3750 / 3761

页数：12

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