Geometric invariants of groups and property R-infinity

• Grant number: 19/03150-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: May 22, 2019
• End date: March 17, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Vendrúscolo
• Grantee: Wagner Carvalho Sgobbi
• Supervisor: Peter Ngai-Sing Wong
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Bates College, United States
• Associated to the scholarship: 17/21208-0 - Geometric invariants of groups and property R-infinity., BP.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. (AU)

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; 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)

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)