On pairs of commuting involutions in $ Sym(n)$ and $ Alt(n)$

Reference : On pairs of commuting involutions in $ Sym(n)$ and $ Alt(n)$


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/45739

Title :	On pairs of commuting involutions in $ Sym(n)$ and $ Alt(n)$
Language :	English
Author, co-author :	Kiefer, Ann [University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET]
	Leemans, Dimitri [> >]
Publication date :	2013
Journal title :	Communications in Algebra
Volume :	41
Issue/season :	12
Pages :	4408--4418
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0092-7872
e-ISSN :	1532-4125
Keywords :	[en] Symmetric groups ; Alternating groups ; Polyhedra
Abstract :	[en] The number of pairs of commuting involutions in Sym(n) and Alt(n) is determined up to isomorphism. It is also proven that, up to isomor- phism and duality, there are exactly two abstract regular polyhedra on which the group Sym(6) acts as a regular automorphism group.
Permalink :	http://hdl.handle.net/10993/45739
DOI :	10.1080/00927872.2012.701360
Other URL :	http://dx.doi.org/10.1080/00927872.2012.701360

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