There is no upper bound for the diameter of the commuting graph of a finite group

被引：35
作者：
Giudici, Michael [1 ]
Parker, Chris [2 ]
机构：
[1] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia
[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2013年 / 120卷 / 07期
关键词：
Commuting graph; Diameter; Special p-group;
D O I：
10.1016/j.jcta.2013.05.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a family of finite 2-groups which have commuting graph of increasing diameter. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：1600 / 1603
页数：4
相关论文
共 9 条
[1]   The Magma algebra system .1. The user language [J].
Bosma, W ;
Cannon, J ;
Playoust, C .
JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265
[2]  
Giudici M., 2013, J GROUP THE IN PRESS
[3]  
Hegarty P., 2012, ARXIV12045456V3
[4]   On the commuting graph associated with the symmetric and alternating groups [J].
Iranmanesh, A. ;
Jafarzadeh, A. .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (01) :129-146
[5]  
Morgan G., 2013, ARXIV13012341
[6]  
Parker C., 2013, B LOND MATH IN PRESS, DOI DOI 10.1112/BLMS/BDT008
[7]   Anisotropic groups of type An and the commuting graph of finite simple groups [J].
Segev, Y ;
Seitz, GM .
PACIFIC JOURNAL OF MATHEMATICS, 2002, 202 (01) :125-225
[8]  
Vahidi J, 2010, J MATH COMPUT SCI-JM, V1, P123
[9]  
Woodcock T.J., 2010, THESIS U VIRGINIA CH
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