Publication Title
Communications in Algebra
Document Type
Article
Department or Program
Mathematics
Publication Date
1-1-2023
Keywords
Generalized solvable Baumslag-Solitar groups, Sigma invariants
Abstract
We compute the Bieri-Neumann-Strebel invariants (Formula presented.) for the generalized solvable Baumslag-Solitar groups (Formula presented.) and their finite index subgroups. Using (Formula presented.), we show that certain finite index subgroups of (Formula presented.) cannot be isomorphic to (Formula presented.) for any k. In addition, we use the BNS-invariants to give a new proof of property (Formula presented.) for the groups (Formula presented.) and their finite index subgroups.
Recommended Citation
Sgobbi, W. and Wong, P. 2023. "The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups." Communications in Algebra. 51(8): 3354-3370. https://doi.org/10.1080/00927872.2023.2183028
Copyright Note
This is the author's version of the work. This publication appears in Bates College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
Required Publisher's Statement
This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 15 Feb 2023, available at: https://doi.org/10.1080/00927872.2023.2183028.