ON THE NUMBER OF CONNECTED COMPONENTS OF DIVISIBILITY GRAPH FOR CERTAIN SIMPLE GROUPS

被引:0
|
作者
Abdolghafourian, Adeleh [1 ]
Iranmanesh, Mohammad A. [1 ]
机构
[1] Yazd Univ, Dept Math, POB 89195-741, Yazd, Iran
关键词
Divisibility graph; Connected component; Simple groups;
D O I
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The divisibility graph D(G) for a finite group G is a graph with vertex set cs(G) \ {1} where cs(G) is the set of conjugacy class sizes of G. Two vertices a and b are adjacent whenever a divides b or b divides a. In this paper we will find the number of connected components of D(G) where G is a simple Zassenhaus group or an sporadic simple group.
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页码:33 / 40
页数:8
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