Campo DC | Valor | Idioma |
dc.contributor.author | Porto, Anderson Luiz Pedrosa | - |
dc.contributor.author | Lima, Igor dos Santos | - |
dc.date.accessioned | 2024-09-19T19:32:47Z | - |
dc.date.available | 2024-09-19T19:32:47Z | - |
dc.date.issued | 2024-05-02 | - |
dc.identifier.citation | PORTO, Anderson; LIMA, Igor. On Pro-p Cappitt Groups with finite exponent. Comptes Rendus. Mathématique, [S. l.], v. 362 , pp. 287-292, 2024. DOI: https://doi.org/10.5802/crmath.562. Disponível em: https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.562/. Acesso em: 19 set. 2024. | pt_BR |
dc.identifier.uri | http://repositorio.unb.br/handle/10482/50390 | - |
dc.language.iso | eng | pt_BR |
dc.publisher | Académie des Sciences | pt_BR |
dc.rights | Acesso Aberto | pt_BR |
dc.title | On Pro-p Cappitt Groups with finite exponent | pt_BR |
dc.type | Artigo | pt_BR |
dc.subject.keyword | Grupos pro-p Cappitt | pt_BR |
dc.subject.keyword | Grupos de Torção | pt_BR |
dc.rights.license | (CC BY) This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/ | pt_BR |
dc.identifier.doi | https://doi.org/10.5802/crmath.562 | pt_BR |
dc.description.abstract1 | A pro-p Cappitt group is a pro-p group G such that Se(G) = 〈L ⩽c G |L ⋪G〉 is a proper subgroup (i.e.
Se(G) ̸= G). In this paper we prove that non-abelian pro-p Cappitt groups whose torsion subgroup is closed
and it has finite exponent. This result is a natural continuation of main result of the first author [7]. We also
prove that in a pro-p Cappitt group its subgroup commutator is a procyclic central subgroup. Finally we show
that pro-2 Cappitt groups of exponent 4 are pro-2 Dedekind groups. These results are pro-p versions of the
generalized Dedekind groups studied by Cappitt (see Theorem 1 and Lemma 7 in [1]). | pt_BR |
dc.identifier.orcid | https://orcid.org/0000-0002-8800-0827 | pt_BR |
dc.contributor.affiliation | Universidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Ciência e Tecnologia - ICT, Diamantina - MG | pt_BR |
dc.contributor.affiliation | Universidade de Brasília, Departamento de Matemática | pt_BR |
dc.contributor.affiliation | Universidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Ciência e Tecnologia - ICT, Diamantina - MG | pt_BR |
dc.contributor.affiliation | Universidade de Brasília, Departamento de Matemática | pt_BR |
dc.description.unidade | Instituto de Ciências Exatas (IE) | pt_BR |
dc.description.unidade | Departamento de Matemática (IE MAT) | pt_BR |
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