Title:	Extra-special p-groups as groups of automorphisms
Authors:	Melo, Emerson Ferreira de Silva, Maria Edna Gomes da Lima, Igor
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-0346-2716
metadata.dc.contributor.affiliation:	Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Automorfismos p -grupos Anéis de Lie
Issue Date:	2023
Publisher:	Taylor & Francis
Citation:	MELO, E. de; GOMES, M. E.; LIMA, I. Extra-special p-groups as groups of automorphisms. Communications in Algebra, [S. l.], v. 51, n. 2, p. 475-484, 2023. DOI: https://doi.org/10.1080/00927872.2022.2102178.
Abstract:	Let p be a prime and E an extra-special p-group of exponent p and order p2n+1. Suppose that E acts by automorphisms on a finite p' -group G. We prove that if γn(CG(a)) is nilpotent for any a∈E#, then γn(G) is nilpotent. If, for some integer d such that 2d≤n, the dth derived group of CG(a) is nilpotent for any a∈E#, then the dth derived group G(d) is nilpotent. We also prove similar results for Lie algebras.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
metadata.dc.description.ppg:	Programa de Pós-Graduação em Matemática
DOI:	https://doi.org/10.1080/00927872.2022.2102178
metadata.dc.relation.publisherversion:	https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2102178
Appears in Collections:	Artigos publicados em periódicos e afins

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