String C-groups as transitive subgroups of $S_n$
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2016 |
| 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/10773/14993 |
Resumo: | If $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of is at most n/2+1, with nitely many exceptions (which are classi ed). It is conjectured that only the symmetric group has to be excluded. |
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String C-groups as transitive subgroups of $S_n$String C-groupsAbstract regular polytopesTransitive groupsIndependent generating setsIf $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of is at most n/2+1, with nitely many exceptions (which are classi ed). It is conjectured that only the symmetric group has to be excluded.Elsevier2018-07-20T14:00:51Z2016-02-01T00:00:00Z2016-02-012017-01-31T16:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/14993eng0021-869310.1016/j.jalgebra.2015.09.040Cameron, Peter J.Fernandes, Maria ElisaLeemans, DimitriMixer, Markinfo: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:RCAAP2024-02-22T11:27:38Zoai:ria.ua.pt:10773/14993Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:27.095122Repositório 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 |
String C-groups as transitive subgroups of $S_n$ |
| title |
String C-groups as transitive subgroups of $S_n$ |
| spellingShingle |
String C-groups as transitive subgroups of $S_n$ Cameron, Peter J. String C-groups Abstract regular polytopes Transitive groups Independent generating sets |
| title_short |
String C-groups as transitive subgroups of $S_n$ |
| title_full |
String C-groups as transitive subgroups of $S_n$ |
| title_fullStr |
String C-groups as transitive subgroups of $S_n$ |
| title_full_unstemmed |
String C-groups as transitive subgroups of $S_n$ |
| title_sort |
String C-groups as transitive subgroups of $S_n$ |
| author |
Cameron, Peter J. |
| author_facet |
Cameron, Peter J. Fernandes, Maria Elisa Leemans, Dimitri Mixer, Mark |
| author_role |
author |
| author2 |
Fernandes, Maria Elisa Leemans, Dimitri Mixer, Mark |
| author2_role |
author author author |
| dc.contributor.author.fl_str_mv |
Cameron, Peter J. Fernandes, Maria Elisa Leemans, Dimitri Mixer, Mark |
| dc.subject.por.fl_str_mv |
String C-groups Abstract regular polytopes Transitive groups Independent generating sets |
| topic |
String C-groups Abstract regular polytopes Transitive groups Independent generating sets |
| description |
If $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of is at most n/2+1, with nitely many exceptions (which are classi ed). It is conjectured that only the symmetric group has to be excluded. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016-02-01T00:00:00Z 2016-02-01 2017-01-31T16:00:00Z 2018-07-20T14:00:51Z |
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info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/14993 |
| url |
http://hdl.handle.net/10773/14993 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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0021-8693 10.1016/j.jalgebra.2015.09.040 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Elsevier |
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Elsevier |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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