Highest rank of a polytope for An
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/18271 |
Resumo: | 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. |
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7160 |
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Highest rank of a polytope for AnAbstract Regular PolytopesString C-GroupsAlternating GroupsPermutation GroupsWe 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.London Mathematical Society2018-07-20T14:01:01Z2017-01-01T00:00:00Z20172018-01-01T11:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18271eng0024-611510.1112/plms.12039Cameron, PeterLeemans, DimitriMixer, MarkFernandes, Maria Elisainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:34:40Zoai:ria.ua.pt:10773/18271Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:02.515931Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Highest rank of a polytope for An |
title |
Highest rank of a polytope for An |
spellingShingle |
Highest rank of a polytope for An Cameron, Peter Abstract Regular Polytopes String C-Groups Alternating Groups Permutation Groups |
title_short |
Highest rank of a polytope for An |
title_full |
Highest rank of a polytope for An |
title_fullStr |
Highest rank of a polytope for An |
title_full_unstemmed |
Highest rank of a polytope for An |
title_sort |
Highest rank of a polytope for An |
author |
Cameron, Peter |
author_facet |
Cameron, Peter Leemans, Dimitri Mixer, Mark Fernandes, Maria Elisa |
author_role |
author |
author2 |
Leemans, Dimitri Mixer, Mark Fernandes, Maria Elisa |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Cameron, Peter Leemans, Dimitri Mixer, Mark Fernandes, Maria Elisa |
dc.subject.por.fl_str_mv |
Abstract Regular Polytopes String C-Groups Alternating Groups Permutation Groups |
topic |
Abstract Regular Polytopes String C-Groups Alternating Groups Permutation Groups |
description |
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. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-01-01T00:00:00Z 2017 2018-07-20T14:01:01Z 2018-01-01T11:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/18271 |
url |
http://hdl.handle.net/10773/18271 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0024-6115 10.1112/plms.12039 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
London Mathematical Society |
publisher.none.fl_str_mv |
London Mathematical Society |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137581632323584 |