An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
type: Item
instance of: scholarly article
title: An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
zbMATH Open document ID: 1166.20006
DOI: 10.1216/RMJ-2008-38-1-175
author: Mark L. Lewis
published in: Rocky Mountain Journal of Mathematics
publication date: 2009-04-07T00:00:00Z
review text: This paper gives a quite comprehensive survey of the research literature regarding the graphs mentioned in the title. The two main types of graphs considered in this paper are the prime vertex graph (two vertices are joined by an edge if their product divides a character degree/conjugacy class size) and the common divisor graph (two character degrees/conjugacy class sizes are joined by an edge if they have a common prime divisor).
reviewed by: Thomas Michael Keller
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20-02
zbMATH DE Number: 5541215
zbMATH Keywords: finite groups
zbMATH Keywords: character degree graphs
zbMATH Keywords: conjugacy class sizes
zbMATH Keywords: survey article
MaRDI profile type: Publication
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