The order of the product of two elements in the periodic groups

Amiri, Mohsen; Lima, Igor dos Santos

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Campo DC	Valor	Idioma
dc.contributor.author	Amiri, Mohsen	-
dc.contributor.author	Lima, Igor dos Santos	-
dc.date.accessioned	2022-05-19T14:59:44Z	-
dc.date.available	2022-05-19T14:59:44Z	-
dc.date.issued	2022	-
dc.identifier.citation	AMIRI, Mohsen; LIMA, Igor. The order of the product of two elements in the periodic groups. Communications in Algebra, v. 50, n. 8, p. 3473-3480, 2022. DOI: https://doi.org/10.1080/00927872.2022.2034836. Disponível em: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2034836. Acesso em: 19 maio 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/43749	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	The order of the product of two elements in the periodic groups	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Matemática	pt_BR
dc.subject.keyword	Teoria dos grupos	pt_BR
dc.rights.license	© 2022 Taylor & Francis Group, LLC	pt_BR
dc.identifier.doi	https://doi.org/10.1080/00927872.2022.2034836	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2034836	pt_BR
dc.description.abstract1	Let G be a periodic group, and let LCM(G) be the set of all x∈G such that o(xnz) divides the least common multiple of o(xn) and o(z) for all z in G and all integers n. In this paper, we prove that the subgroup generated by LCM(G) is a locally nilpotent characteristic subgroup of G whenever G is a locally finite group.	pt_BR
dc.identifier.orcid	http://orcid.org/0000-0003-3314-0301	pt_BR
dc.identifier.orcid	http://orcid.org/0000-0002-0346-2716	pt_BR
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