Finite-index accessibility of groups
Abstract
Abstract We prove an accessibility theorem for finite-index splittings of groups. Given a finitely presented group 𝐺, there is a number n ( G ) n(G) such that, for every reduced locally finite 𝐺-tree 𝑇 with finitely generated stabilizers, T / G T/G has at most n ( G ) n(G) vertices and edges. We also show that deformation spaces of locally finite trees (with finitely generated stabilizers) are maximal in the partial ordering of domination of 𝐺-trees.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Operator Algebra Research
Rings
Modules
and Algebras
Publication details
- Journal / source
- Journal of Group Theory
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 15 July 2026
- Language
- EN