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Addendum to
“Commensurations and subgroups of finite index of Thompson's
group $F$”
José Burillo, Sean Cleary and Claas E Röver |
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Geometry & Topology 17 (2013) 1199–1203
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Abstract |
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We show that the abstract commensurator of 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. |
Keywords
Thompson's group, commensurations, simple group
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Mathematical Subject Classification 2010
Primary: 20E32, 20E34
Secondary: 20F65, 20E36
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References |
Publication
Received: 24 September 2012
Revised: 20 December 2012
Accepted: 30 January 2013
Published: 29 May 2013
Proposed: Walter Neumann
Seconded: Benson Farb, Ronald Stern
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Authors |
| José Burillo | |
| Departament de Matemàtica Aplicada
IV Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Esteve Terrades, 5 08860 Castelldefels Spain |
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| http://www-ma4.upc.edu/~burillo/ | |
| Sean Cleary | |
| Department of Mathematics
R8133 The City College of New York 160 Convent Ave New York, NY 10031 USA |
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| http://www.sci.ccny.cuny.edu/~cleary | |
| Claas E Röver | |
| School of Mathematics, Statistics
and Applied Mathematics National University of Ireland University Road Galway Ireland |
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| http://www.maths.nuigalway.ie/~chew/ | |
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