Título :	The order of the product of two elements in the periodic groups
Autor :	Amiri, Mohsen Lima, Igor dos Santos
metadata.dc.identifier.orcid:	http://orcid.org/0000-0003-3314-0301 http://orcid.org/0000-0002-0346-2716
Assunto::	Matemática Teoria dos grupos
Fecha de publicación :	2022
Editorial :	Taylor & Francis
Citación :	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.
Abstract:	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.
Licença::	© 2022 Taylor & Francis Group, LLC
DOI:	https://doi.org/10.1080/00927872.2022.2034836
metadata.dc.relation.publisherversion:	https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2034836
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