Commuting graphs of odd prime order elements in simple groups

2009/08/18 by Barbara Baumeister, Alexander Stein, Baumeister, Barbara +1
Engineering · Mathematics · #20D60 #20E32 #20E45 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems #math.CO #math.GR #msc:20D60 #msc:20E32 #msc:20E45

paper · pdf · doi:10.48550/arxiv.0908.2583

28 pages

arxiv created 2009/08/18 · openalex publication_date 2009/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the commuting graph on elements of odd prime order in finite simple groups. The results are used in a forthcoming paper describing the structure of Bruck loops and Bol loops of exponent 2.

Related

• Aspects of the commuting graph
• Commutants of Bol loops of Odd Order
• A characterization of certain finite groups of odd order
• A class of finite simple Bol loops of exponent 2
• The structure of automorphic loops