Common overlattices in trees and trees with fins
Abstract
Bass and Kulkarni proved that any pair of free uniform lattices in the automorphism group of a tree have conjugates that both lie inside a third uniform lattice (which is not necessarily free). We show that this does not generalise to trees with fins. The construction of our counter-example involves working with a certain generalisation of the universal groups of Burger and Mozes.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 711
- Pages
- 1100–1119
- Publication date
- 22 October 2026
- Language
- EN