Soluble groups with few orbits under automorphisms

Bastos Júnior, Raimundo de Araújo; Dantas, Alex Carrazedo; Melo, Emerson Ferreira de

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dc.contributor.author	Bastos Júnior, Raimundo de Araújo	-
dc.contributor.author	Dantas, Alex Carrazedo	-
dc.contributor.author	Melo, Emerson Ferreira de	-
dc.date.accessioned	2020-10-23T16:02:01Z	-
dc.date.available	2020-10-23T16:02:01Z	-
dc.date.issued	2020-03-17	-
dc.identifier.citation	BASTOS, Raimundo; DANTAS, Alex C.; MELO, Emerson de. Soluble groups with few orbits under automorphisms. Geometriae Dedicata, v. 209, p. 119-123, 2020. DOI: https://doi.org/10.1007/s10711-020-00525-7. Disponível em: https://link.springer.com/article/10.1007/s10711-020-00525-7.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/39593	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Soluble groups with few orbits under automorphisms	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Extensões	pt_BR
dc.subject.keyword	Automorfismos	pt_BR
dc.subject.keyword	Grupos solúveis	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s10711-020-00525-7	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s10711-020-00525-7	-
dc.description.abstract1	Let G be a group. The orbits of the natural action of Aut(G) on G are called “automorphism orbits” of G, and the number of automorphism orbits of G is denoted by ω(G). We prove that if G is a soluble group of finite rank such that ω(G)<∞, then G contains a torsion-free radicable nilpotent characteristic subgroup K such that G=K⋊H, where H is a finite group. Moreover, we classify the mixed order soluble groups of finite rank such that ω(G)=3.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-5733-519X	pt_BR
Collection(s) :	Artigos publicados em periódicos e afins