Geodesic
Addendum to “Commensurations and subgroups of finite index of Thompson’s group F”
Burillo, José1 ; Cleary, Sean2 ; Röver, Claas E3
1 Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, Escola Politècnica Superior de Castelldefels, Esteve Terrades, 5, 08860 Castelldefels, Spain
2 Department of Mathematics R8133, The City College of New York, 160 Convent Ave, New York, NY 10031, USA
3 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, Galway, Ireland
Geometry & topology, Tome 17 (2013) no. 2, pp. 1199-1203.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the abstract commensurator of F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive rationals and a cyclic group of order two. The main result establishes the simplicity of a certain group of piecewise linear homeomorphisms of the real line.

DOI : 10.2140/gt.2013.17.1199
Classification : 20E32, 20E34, 20F65, 20E36
Keywords: Thompson's group, commensurations, simple group

Burillo, José 1 ; Cleary, Sean 2 ; Röver, Claas E 3

1 Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, Escola Politècnica Superior de Castelldefels, Esteve Terrades, 5, 08860 Castelldefels, Spain
2 Department of Mathematics R8133, The City College of New York, 160 Convent Ave, New York, NY 10031, USA
3 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, Galway, Ireland 
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Burillo, José; Cleary, Sean; Röver, Claas E. Addendum to “Commensurations and subgroups of finite index of Thompson’s group F”. Geometry & topology, Tome 17 (2013) no. 2, pp. 1199-1203. doi : 10.2140/gt.2013.17.1199. http://geodesic.mathdoc.fr/articles/10.2140/gt.2013.17.1199/

[1] M G Brin, The chameleon groups of Richard J Thompson: automorphisms and dynamics, Inst. Hautes Études Sci. Publ. Math. (1996) 5

[2] J Burillo, S Cleary, C E Röver, Commensurations and subgroups of finite index of Thompson's group $F$, Geom. Topol. 12 (2008) 1701

[3] J W Cannon, W J Floyd, W R Parry, Introductory notes on Richard Thompson's groups, Enseign. Math. 42 (1996) 215

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