String C-group representations of alternating groups
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2019 |
| 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/10773/26845 |
Resumo: | We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], the group A_n has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A_11. |
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String C-group representations of alternating groupsAbstract regular polytopesCoxeter groupsAlternating groupsString C-groupsWe prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], the group A_n has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A_11.2019-10-23T08:43:05Z2019-10-22T00:00:00Z2019-10-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26845eng1855-396610.26493/1855-3974.1953.c53Fernandes, Maria ElisaLeemans, Dimitriinfo: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:RCAAP2024-02-22T11:52:01Zoai:ria.ua.pt:10773/26845Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:45.781068Repositório 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-group representations of alternating groups |
| title |
String C-group representations of alternating groups |
| spellingShingle |
String C-group representations of alternating groups Fernandes, Maria Elisa Abstract regular polytopes Coxeter groups Alternating groups String C-groups |
| title_short |
String C-group representations of alternating groups |
| title_full |
String C-group representations of alternating groups |
| title_fullStr |
String C-group representations of alternating groups |
| title_full_unstemmed |
String C-group representations of alternating groups |
| title_sort |
String C-group representations of alternating groups |
| author |
Fernandes, Maria Elisa |
| author_facet |
Fernandes, Maria Elisa Leemans, Dimitri |
| author_role |
author |
| author2 |
Leemans, Dimitri |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Fernandes, Maria Elisa Leemans, Dimitri |
| dc.subject.por.fl_str_mv |
Abstract regular polytopes Coxeter groups Alternating groups String C-groups |
| topic |
Abstract regular polytopes Coxeter groups Alternating groups String C-groups |
| description |
We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], the group A_n has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A_11. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019-10-23T08:43:05Z 2019-10-22T00:00:00Z 2019-10-22 |
| dc.type.status.fl_str_mv |
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/10773/26845 |
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http://hdl.handle.net/10773/26845 |
| dc.language.iso.fl_str_mv |
eng |
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eng |
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1855-3966 10.26493/1855-3974.1953.c53 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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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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