Abstract
We determine the abstract commensurator of Thompson’s group and describe it in terms of piecewise linear homeomorphisms of the real line. We show is not finitely generated and determine which subgroups of finite index in are isomorphic to . We also show that the natural map from the commensurator group to the quasi-isometry group of is injective.
Citation
José Burillo. Sean Cleary. Claas E Röver. "Commensurations and subgroups of finite index of Thompson's group $F$." Geom. Topol. 12 (3) 1701 - 1709, 2008. https://doi.org/10.2140/gt.2008.12.1701
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