Titre:	On Pro-p Cappitt Groups with finite exponent
Auteur(s):	Porto, Anderson Luiz Pedrosa Lima, Igor dos Santos
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-8800-0827
metadata.dc.contributor.affiliation:	Universidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Ciência e Tecnologia - ICT, Diamantina - MG Universidade de Brasília, Departamento de Matemática Universidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Ciência e Tecnologia - ICT, Diamantina - MG Universidade de Brasília, Departamento de Matemática
Assunto::	Grupos pro-p Cappitt Grupos de Torção
Date de publication:	2-mai-2024
Editeur:	Académie des Sciences
Référence bibliographique:	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.
Abstract:	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]).
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Licença::	(CC BY) This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/
DOI:	https://doi.org/10.5802/crmath.562
Collection(s) :	Artigos publicados em periódicos e afins

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