Grupos pro-p residualmente livres, grupos pro-p limites e produtos subdiretos de g...
Propriedades combinatoriais, homológicas e geométricas de grupos
Texto completo | |
Autor(es): |
Kochloukova, Dessislava H.
;
Lima, Francismar Ferreira
Número total de Autores: 2
|
Tipo de documento: | Artigo Científico |
Fonte: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 63, n. 3, p. 23-pg., 2020-08-01. |
Resumo | |
We calculate the Bieri-Neumann-Strebel-Renz invariant sigma(1)(G) for finitely presented residually free groupsGand show that its complement in the character sphereS(G) is a finite union of finite intersections of closed sub-spheres inS(G). Furthermore, we find some restrictions on the higher-dimensional homological invariants sigma(n)(G, DOUBLE-STRUCK CAPITAL Z) and show for the discrete points sigma(2)(G)(dis), sigma(2)(G, DOUBLE-STRUCK CAPITAL Z)(dis)and sigma(2)(G, DOUBLE-STRUCK CAPITAL Q)(dis)in sigma(2)(G), sigma(2)(G, DOUBLE-STRUCK CAPITAL Z) and sigma(2)(G, DOUBLE-STRUCK CAPITAL Q) that we have the equality sigma(2)(G)(dis)= sigma(2)(G, DOUBLE-STRUCK CAPITAL Z)(dis)= sigma(2)(G, DOUBLE-STRUCK CAPITAL Q)(dis). (AU) | |
Processo FAPESP: | 16/05678-3 - Grupos abstratos, grupos pro-p e álgebras de Lie de tipo homológico FPm |
Beneficiário: | Dessislava Hristova Kochloukova |
Modalidade de apoio: | Auxílio à Pesquisa - Regular |