Propriedades homologicas de grupos pro-p / Homological properties of pro-p groups
AUTOR(ES)
Aline G. S. Pinto
DATA DE PUBLICAÇÃO
2005
RESUMO
In this work, we prove two results about homological properties of metabelian pro-p groups. The first one answers positively a conjecture suggested by J. King that, if G is a finitely generated metabelian pro-p group and m a positive integer, G embeds in a metabelian pro-p group of homological type F P m. The second result caracterize the modules B of homological type F P mover [[ZpG]], where G is a topologically finitely generated metabelian pro-p group that is an extension of A by Q, with A and Q abelian, and B is a finitely generated pro-p [[ZpQ]]-module that is viewed as a pro-p [[ZpG]]-module via the projection G -f Q. The characterization is given in terms of the invariant introduced by J. King [15] and is a generalization of the case when B = Zp is considered as a trivial [[ZpG]]-module, that gives the classification of metabelian pro-p groups of type FPm, proved by D. Kochloukova [18]
ASSUNTO(S)
teoria dos grupos grupos profinitos algebra homologica homological algebra profinite groups group theory
ACESSO AO ARTIGO
http://libdigi.unicamp.br/document/?code=vtls000360097Documentos Relacionados
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