Abelian covers of alternating groups

Daniel Barrantes; Jeremías Ramírez; Nicholas Gill

doi:10.1007/s00013-016-0926-y

Abelian covers of alternating groups

Daniel Barrantes, Jeremías Ramírez, Nicholas Gill

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

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

100 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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.

Iaith wreiddiol	Anadnabyddus
Tudalennau (o-i)	135-150
Nifer y tudalennau	16
Cyfnodolyn	Archiv Der Maethematik
Cyfrol	107
Rhif cyhoeddi	2
Dyddiad ar-lein cynnar	7 Gorff 2016
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s00013-016-0926-y
Statws	Cyhoeddwyd - 31 Awst 2016

Mynediad at Ddogfen

10.1007/s00013-016-0926-yTrwydded: Amhenodol

paperdraft5revisedLlawysgrif awdur wedi’i dderbyn, 302 KBTrwydded: CC BY-NC-ND

Dyfynnu hyn

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title = "Abelian covers of alternating groups",

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.",

keywords = "math.GR, math.CO, 20B30, 05C25, finite simple group, Alternating group, Commuting graph, Clique covering number, independence number",

author = "Daniel Barrantes and Jerem{\'i}as Ram{\'i}rez and Nicholas Gill",

year = "2016",

month = aug,

day = "31",

doi = "10.1007/s00013-016-0926-y",

language = "Anadnabyddus",

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journal = "Archiv Der Maethematik",

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TY - JOUR

T1 - Abelian covers of alternating groups

AU - Barrantes, Daniel

AU - Ramírez, Jeremías

AU - Gill, Nicholas

PY - 2016/8/31

Y1 - 2016/8/31

N2 - 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.

AB - 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.

KW - math.GR

KW - math.CO

KW - 20B30, 05C25

KW - finite simple group

KW - Alternating group

KW - Commuting graph

KW - Clique covering number

KW - independence number

U2 - 10.1007/s00013-016-0926-y

DO - 10.1007/s00013-016-0926-y

M3 - Erthygl

SN - 0003-889X

VL - 107

SP - 135

EP - 150

JO - Archiv Der Maethematik

JF - Archiv Der Maethematik

IS - 2

ER -