Perfect Commuting Graphs

John R. Britnell; Nicholas Gill

doi:10.1515/jgth-2016-0024

Perfect Commuting Graphs

John R. Britnell, Nicholas Gill

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

106 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Nifer y tudalennau	25
Cyfnodolyn	Journal of Group Theory
Cyfrol	20
Rhif cyhoeddi	1
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1515/jgth-2016-0024
Statws	Cyhoeddwyd - 10 Meh 2016

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10.1515/jgth-2016-0024Trwydded: CC BY-NC-ND

perfect5revisedLlawysgrif awdur wedi’i dderbyn, 342 KBTrwydded: CC BY-NC-ND

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@article{6672c725f8934ab6a2809f557433b899,

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",

note = "26 pages",

year = "2016",

month = jun,

day = "10",

doi = "10.1515/jgth-2016-0024",

language = "English",

volume = "20",

journal = "Journal of Group Theory",

issn = "1435-4446",

publisher = "de Gruyter",

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AU - Britnell, John R.

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N1 - 26 pages

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N2 - 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.

AB - 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.

KW - math.GR

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

KW - Commuting

KW - Graphic methods

KW - Finite groups

KW - Verticies (Geometry)

KW - Integers

U2 - 10.1515/jgth-2016-0024

DO - 10.1515/jgth-2016-0024

M3 - Article

SN - 1435-4446

VL - 20

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 1

ER -

Perfect Commuting Graphs

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