The Divisibility Graph of finite groups of Lie Type

2016/12/13 by Adeleh Abdolghafourian, Abdolghafourian, Adeleh, Mohammad A. Iranmanesh +3
Computer Science · Engineering · Mathematics · #05C25 (Secondary) #20G40 (Primary) #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1612.04410

openalex publication_date 2016/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Divisibility Graph of a finite group G has vertex set the set of conjugacy class lengths of non-central elements in G and two vertices are connected by an edge if one divides the other. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic.

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