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2008 Commensurations and subgroups of finite index of Thompson's group $F$
José Burillo, Sean Cleary, Claas E Röver
Geom. Topol. 12(3): 1701-1709 (2008). DOI: 10.2140/gt.2008.12.1701

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.

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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

Information

Received: 9 November 2007; Revised: 9 May 2008; Accepted: 26 March 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1190.20031
MathSciNet: MR2421137
Digital Object Identifier: 10.2140/gt.2008.12.1701

Subjects:
Primary: 20E34 , 20F65
Secondary: 20F28 , 26A30

Keywords: commensurator , Thompson group

Rights: Copyright © 2008 Mathematical Sciences Publishers

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