Virtual first Betti number of GGS groups
We observe a criterion for groups to have vanishing virtual first Betti number and use it to give infinitely many examples of torsion-free, finitely generated, residually finite groups which aren't virtually diffuse. This answers a question raised by Kionke and Raimbault.
Authors
- Andrew Y. Ng (ORCID: https://orcid.org/0000-0001-5547-3196)
Institutions
- University of Bonn (DE)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2026-01-14
- DOI
- https://doi.org/10.1016/j.jalgebra.2026.01.002
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00