Highest rank of a polytope for An

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DC Field	Value	Language
dc.contributor.author	Cameron, Peter	pt
dc.contributor.author	Leemans, Dimitri	pt
dc.contributor.author	Mixer, Mark	pt
dc.contributor.author	Fernandes, Maria Elisa	pt
dc.date.accessioned	2017-08-30T10:57:35Z	-
dc.date.available	2018-07-20T14:01:01Z	-
dc.date.issued	2017	-
dc.identifier.issn	0024-6115	pt
dc.identifier.uri	http://hdl.handle.net/10773/18271	-
dc.description.abstract	We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if n = 5; 4 if n = 9; 5 if n = 10; 6 if n = 11; and the floor of of (n-1)/2 if n>=12. Moreover, if n = 3; 4; 6; 7 or 8, the group An is not a string C-group. This solves a conjecture made by the last three authors in 2012.	pt
dc.language.iso	eng	pt
dc.publisher	London Mathematical Society	pt
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147206/PT	pt
dc.rights	openAccess	por
dc.subject	Abstract Regular Polytopes	pt
dc.subject	String C-Groups	pt
dc.subject	Alternating Groups	pt
dc.subject	Permutation Groups	pt
dc.title	Highest rank of a polytope for An	pt
dc.type	article	pt
dc.peerreviewed	yes	pt
ua.distribution	international	pt
degois.publication.firstPage	1	pt
degois.publication.lastPage	42	pt
degois.publication.title	Proceedings of the London Mathematical Society	pt
degois.publication.volume	3	pt
dc.date.embargo	2018-01-01T11:00:00Z	-
dc.identifier.doi	10.1112/plms.12039	pt
Appears in Collections:	CIDMA - Artigos AGG - Artigos

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