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

共 50 条

[41] Expansion in finite simple groups of Lie type
Breuillard, Emmanuel
Green, Ben
Guralnick, Robert
Tao, Terence
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2015, 17 (06) : 1367 - 1434
[42] On Thompson's conjecture for finite simple groups
Gorshkov, I. B.
COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) : 5192 - 5206
[43] The probabilistic zeta function of finite simple groups
Damian, Erika
Lucchini, Andrea
JOURNAL OF ALGEBRA, 2007, 313 (02) : 957 - 971
[44] A new characterization of some finite simple groups
M. F. Ghasemabadi
A. Iranmanesh
F. Mavadatpour
Siberian Mathematical Journal, 2015, 56 : 78 - 82
[45] On involutions in symmetric groups and a conjecture of Lusztig
Hu, Jun
Zhang, Jing
ADVANCES IN MATHEMATICS, 2016, 287 : 1 - 30
[46] Almost independence and irreducibility in simple finite and algebraic groups
Shalev, Aner
JOURNAL OF ALGEBRA, 2018, 500 : 375 - 389
[47] Connectivity of the reduced power graphs of finite simple groups
Yang, Yilong
DISCRETE MATHEMATICS, 2024, 347 (02)
[48] A characterization of finite simple groups by the orders of solvable subgroups
Denecke, Klaus
Li, Xian-hua
Bi, Jian-xing
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (05): : 715 - 726
[49] On the Validity of Thompson's Conjecture for Finite Simple Groups
Ahanjideh, N.
Ahanjideh, M.
COMMUNICATIONS IN ALGEBRA, 2013, 41 (11) : 4116 - 4145
[50] A new characterization of some families of finite simple groups
Ghasemabadi, M. Foroudi
Iranmanesh, A.
Ahanjideh, M.
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 137 : 57 - 74

← 1 2 3 4 5 →