Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas

• Main Author: Porto, Anderson Luiz Pedrosa
• Other Authors: Zalesski, Pavel
• Language: Portuguese
• Published: 2010
• Subjects: Teoria dos grupos; Álgebra
• Online Access: http://repositorio.unb.br/handle/10482/5262

Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2009. === Submitted by Allan Wanick Motta ([e-mail]) on 2010-07-07T18:33:23Z No. of bitstreams: 1 2009_AndersonLuizPedrosaPorto.pdf: 581583 bytes, checksum: e5c5f4453e86c92734aa5cafd77cec97 (MD5) === Approved for entry into archive by Gomes Neide([e-mail]) on 2010-07-15T20:39:56Z (GMT) No. of bitstreams: 1 2009_AndersonLuizPedrosaPorto.pdf: 581583 bytes, checksum: e5c5f4453e86c92734aa5cafd77cec97 (MD5) === Made available in DSpace on 2010-07-15T20:39:56Z (GMT). No. of bitstreams: 1 2009_AndersonLuizPedrosaPorto.pdf: 581583 bytes, checksum: e5c5f4453e86c92734aa5cafd77cec97 (MD5) Previous issue date: 2009 === Seja F um grupo pro-p livre de posto finito e considere Cpn o grupo cíclico de ordem pn. Nessa tese nós exibimos os ZpCpn- reticulados que podem ser obtidos pela fatoração de FX Cpn (produto semi-direto pro-p) pelo subgrupo comutador F´=[F,F]. _______________________________________________________________________________ ABSTRACT === Let F be a free pro-p group of finite rank and consider Cpn the cyclic group of order pn. In this thesis we exhibit the ZpCpn-lattices that can be obtained by factoring F ⋊ Cpn (semi-direct product pro-p) by the commutator subgroup F′ = [F, F].