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Highest rank of a polytope for An
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dc.contributor.author | Cameron, Peter J. | |
dc.contributor.author | Fernandes, Maria Elisa | |
dc.contributor.author | Leemans, Dimitri | |
dc.contributor.author | Mixer, Mark | |
dc.date.accessioned | 2017-04-28T10:30:10Z | |
dc.date.available | 2017-04-28T10:30:10Z | |
dc.date.issued | 2017-07-04 | |
dc.identifier | 249289641 | |
dc.identifier | d6dfd17b-d6ca-486b-8a44-b67833cae443 | |
dc.identifier | 85021787703 | |
dc.identifier | 000404869400005 | |
dc.identifier.citation | Cameron , 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.12039 | en |
dc.identifier.issn | 0024-6115 | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/58055648 | |
dc.identifier.uri | https://hdl.handle.net/10023/10678 | |
dc.description | This 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.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 ⌊(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.extent | 42 | |
dc.format.extent | 446521 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the London Mathematical Society | en |
dc.subject | Abstract regular polytypes | en |
dc.subject | String C-groups | en |
dc.subject | Alternating groups | en |
dc.subject | Permutation groups | en |
dc.subject | QA Mathematics | en |
dc.subject | Mathematics(all) | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject | R2C | en |
dc.subject.lcc | QA | en |
dc.title | Highest rank of a polytope for An | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1112/plms.12039 | |
dc.description.status | Peer reviewed | en |
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