Geometric invariants of groups and property R-infinity.

• Grant number: 17/21208-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: July 01, 2018
• End date: December 26, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Vendrúscolo
• Grantee: Wagner Carvalho Sgobbi
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM
• Associated scholarship(s): 19/03150-0 - Geometric invariants of groups and property R-infinity, BE.EP.DR

Abstract

The main objective of this project is to calculate the Bieri-Neumann-Strebel and other geometric invariants of finitely generated groups with application to the probelm of determining whether a given group has the property R-infinity.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SGOBBI, WAGNER C.; SILVA, DALTON C.; VENDRUSCOLO, DANIEL. The R-8 property for nilpotent quotients of Generalized Solvable Baumslag-Solitar groups. Journal of Group Theory, v. N/A, p. 15-pg., 2023-01-31. (16/24707-4, 19/03150-0, 17/21208-0)

SGOBBI, WAGNER; WONG, PETER. The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups. COMMUNICATIONS IN ALGEBRA, v. N/A, p. 17-pg., 2023-02-28. (17/21208-0, 19/03150-0)