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Highest rank of a polytope for An

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dc.contributor.authorCameron, Peter J.
dc.contributor.authorFernandes, Maria Elisa
dc.contributor.authorLeemans, Dimitri
dc.contributor.authorMixer, Mark
dc.date.accessioned2017-04-28T10:30:10Z
dc.date.available2017-04-28T10:30:10Z
dc.date.issued2017-07-04
dc.identifier249289641
dc.identifierd6dfd17b-d6ca-486b-8a44-b67833cae443
dc.identifier85021787703
dc.identifier000404869400005
dc.identifier.citationCameron , P J , Fernandes , M E , Leemans , D & Mixer , M 2017 , ' Highest rank of a polytope for A n ' , Proceedings of the London Mathematical Society , vol. 115 , no. 1 , pp. 135-176 . https://doi.org/10.1112/plms.12039en
dc.identifier.issn0024-6115
dc.identifier.otherORCID: /0000-0003-3130-9505/work/58055648
dc.identifier.urihttps://hdl.handle.net/10023/10678
dc.descriptionThis research was supported by a Marsden grant (UOA1218) of the Royal Society of New Zealand, and by the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2013.en
dc.description.abstractWe 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 ⌊(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.
dc.format.extent42
dc.format.extent446521
dc.language.isoeng
dc.relation.ispartofProceedings of the London Mathematical Societyen
dc.subjectAbstract regular polytypesen
dc.subjectString C-groupsen
dc.subjectAlternating groupsen
dc.subjectPermutation groupsen
dc.subjectQA Mathematicsen
dc.subjectMathematics(all)en
dc.subjectT-NDASen
dc.subjectBDCen
dc.subjectR2Cen
dc.subject.lccQAen
dc.titleHighest rank of a polytope for Anen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1112/plms.12039
dc.description.statusPeer revieweden


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