Residually free pro-p groups, pro-p limit groups and subdurect products of pro-p g...
Combinatorial, homological and geometric properties of groups
| Full text | |
| Author(s): |
Kochloukova, Dessislava H.
;
Lima, Francismar Ferreira
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 63, n. 3, p. 23-pg., 2020-08-01. |
| Abstract | |
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) | |
| FAPESP's process: | 16/05678-3 - Abstract groups, pro-p groups and Lie algebras of homological type FPm |
| Grantee: | Dessislava Hristova Kochloukova |
| Support Opportunities: | Regular Research Grants |