Nilpotent residual of a finite group

Rodrigues, Eliana; Melo, Emerson Ferreira de; Ercan, Gülin

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Rodrigues, Eliana	-
dc.contributor.author	Melo, Emerson Ferreira de	-
dc.contributor.author	Ercan, Gülin	-
dc.date.accessioned	2025-09-23T14:24:52Z	-
dc.date.available	2025-09-23T14:24:52Z	-
dc.date.issued	2023-11-17	-
dc.identifier.citation	RODRIGUES, Eliana; MELO, Emerson Ferreira de; ERCAN, Gülin. Nilpotent residual of a finite group. Journal of Algebra, [S.l.], v. 641, p. 534-545, 2024. DOI: https://doi.org/10.1016/j.jalgebra.2023.11.011. Disponível em: https://www.sciencedirect.com/science/article/pii/S0021869323005719?via%3Dihub. Acesso em: 08 ago. 2025.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/52484	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Nilpotent residual of a finite group	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Automorfismos	pt_BR
dc.subject.keyword	Grupo de Frobenius	pt_BR
dc.subject.keyword	Grupo finito	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jalgebra.2023.11.011	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0021869323005719?via%3Dihub	pt_BR
dc.description.abstract1	Let F be a nilpotent group acted on by a group H via automorphisms and let the group G admit the semidirect product F H as a group of automorphisms so that CG(F) = 1. We prove that the order of γ∞(G), the rank of γ∞(G) are bounded in terms of the orders of γ∞(CG(H)) and H, the rank of γ∞(CG(H)) and the order of H, respectively in cases where either F H is a Frobenius group; F H is a Frobenius-like group satisfying some certain conditions; or F H = α, β is a dihedral group generated by the involutions α and β with F = αβ and H = α .	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0001-7222-663X	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1476-5314	pt_BR
dc.contributor.affiliation	Instituto Federal de Goiás, Department of Academic Areas	pt_BR
dc.contributor.affiliation	University of Brasilia, Department of Mathematics	pt_BR
dc.contributor.affiliation	Middle East Technical University, Department of Mathematics	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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