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The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups

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Author(s):
Sgobbi, Wagner ; Wong, Peter
Total Authors: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. N/A, p. 17-pg., 2023-02-28.
Abstract

We compute the Bieri-Neumann-Strebel invariants sigma(1) for the generalized solvable Baumslag-Solitar groups gamma and their finite index subgroups. Using sigma(1), we show that certain finite index subgroups of gamma(n) cannot be isomorphic to gamma(k) for any k. In addition, we use the BNS-invariants to give a new proof of property Roo for the groups gamma(n) and their finite index subgroups. (AU)

FAPESP's process: 17/21208-0 - Geometric invariants of groups and property R-infinity.
Grantee:Wagner Carvalho Sgobbi
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 19/03150-0 - Geometric invariants of groups and property R-infinity
Grantee:Wagner Carvalho Sgobbi
Support Opportunities: Scholarships abroad - Research Internship - Doctorate