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.
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页码：3750 / 3761
页数：12
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