On the Bieri-Neumann-Strebel-Renz invariants of residually free groups

Autor(es)

Kochloukova, Dessislava H. ; Lima, Francismar Ferreira

• 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