Publication Title

Communications in Algebra

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Department or Program


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Generalized solvable Baumslag-Solitar groups, Sigma invariants


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.

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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: