Virtual first Betti number of GGS groups
Abstract
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Finite Group Theory Research
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 693
- Pages
- 54–61
- Publication date
- 14 January 2026
- Language
- EN