Commensurations and subgroups of finite index of thompson’s groupf
Burillo, José Cleary, Sean Röver, Claas E
Burillo, José
Cleary, Sean
Röver, Claas E
Citation
Burillo, José; Cleary, Sean; Röver, Claas E (2008). Commensurations and subgroups of finite index of thompson’s groupf. Geometry & Topology 12 , 1701-1709
Abstract
We determine the abstract commensurator Com. F/ of Thompson's group F and describe it in terms of piecewise linear homeomorphisms of the real line. We show Com. F/ is not finitely generated and determine which subgroups of finite index in F are isomorphic to F. We also show that the natural map from the commensurator group to the quasi-isometry group of F is injective.
Funder
Publisher
Mathematical Sciences Publishers
Publisher DOI
10.2140/gt.2008.12.1701
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland