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

Faculty of Computing, Engineering and Science

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

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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.

Original language	Unknown
Pages (from-to)	135-150
Number of pages	16
Journal	Archiv Der Maethematik
Volume	107
Issue number	2
Early online date	7 Jul 2016
DOIs	https://doi.org/10.1007/s00013-016-0926-y
Publication status	Published - 31 Aug 2016

Keywords

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

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10.1007/s00013-016-0926-yLicence: Unspecified

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Cite this

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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.",

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AU - Barrantes, Daniel

AU - Ramírez, Jeremías

AU - Gill, Nicholas

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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

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JO - Archiv Der Maethematik

JF - Archiv Der Maethematik

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