Perfect Commuting Graphs

John R. Britnell; Nicholas Gill

doi:10.1515/jgth-2016-0024

Perfect Commuting Graphs

John R. Britnell, Nicholas Gill

Faculty of Computing, Engineering and Science

Research output: Contribution to journal › Article › peer-review

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Abstract

We classify the finite quasisimple groups whose commuting graph is perfect and we give a general structure theorem for finite groups whose commuting graph is perfect.

Original language	English
Number of pages	25
Journal	Journal of Group Theory
Volume	20
Issue number	1
DOIs	https://doi.org/10.1515/jgth-2016-0024
Publication status	Published - 10 Jun 2016

Keywords

math.GR
05C17, 20D05 (primary), 05C25 (secondary)
Commuting
Graphic methods
Finite groups
Verticies (Geometry)
Integers

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Cite this

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title = "Perfect Commuting Graphs",

abstract = "We classify the finite quasisimple groups whose commuting graph is perfect and we give a general structure theorem for finite groups whose commuting graph is perfect.",

keywords = "math.GR, 05C17, 20D05 (primary), 05C25 (secondary), Commuting, Graphic methods, Finite groups, Verticies (Geometry), Integers",

author = "Britnell, {John R.} and Nicholas Gill",

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year = "2016",

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KW - math.GR

KW - 05C17, 20D05 (primary), 05C25 (secondary)

KW - Commuting

KW - Graphic methods

KW - Finite groups

KW - Verticies (Geometry)

KW - Integers

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M3 - Article

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VL - 20

JO - Journal of Group Theory

JF - Journal of Group Theory

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ER -

Perfect Commuting Graphs

Abstract

Keywords

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