On divisibility graph for simple Zassenhaus groups

Adeleh Abdolghafourian; Mohammad A. Iranmanesh

On divisibility graph for simple Zassenhaus groups

Group Theory 2014-07-17 v1 Combinatorics

Authors: Adeleh Abdolghafourian , Mohammad A. Iranmanesh

Abstract

The divisibility graph $D(G)$ for a finite group $G$ is a graph with vertex set $cs~(G)\setminus\{1\}$ 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.

Keywords

graph theory of groups power graph of a group graph theory

Cite

@article{arxiv.1407.4326,
  title  = {On divisibility graph for simple Zassenhaus groups},
  author = {Adeleh Abdolghafourian and Mohammad A. Iranmanesh},
  journal= {arXiv preprint arXiv:1407.4326},
  year   = {2014}
}

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