On divisibility graph for simple Zassenhaus groups

2014/07/16 by Abdolghafourian, Adeleh, Iranmanesh, Mohammad A.
#05C25 #20D05 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1407.4326

Abstract

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 D(G) where G is a simple Zassenhaus group.

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