Abelian covers of alternating groups

Barrantes, Daniel; Gill, Nick and Ramírez, Jeremías (2016). Abelian covers of alternating groups. Archiv der Mathematik, 107(2) pp. 135–150.

DOI: https://doi.org/10.1007/s00013-016-0926-y

Abstract

Let G = A _n, a finite alternating group. We study the commuting graph of G and establish, for all possible values of n barring 13, 14, 17, and 19 whether or not the independence number is equal to the clique-covering number.

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About

• Item ORO ID
• 79553
• Item Type
• Journal Item
• ISSN
• 0003-889X
• Keywords
• Finite simple group; alternating group; commuting graph; clique covering number; independence number
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2016 Springer International Publishing
• Depositing User
• Nick Gill