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Conjugacy in Thompson's group 
Authors:
Nick Gill and Ian Short
Journal:
Proc. Amer. Math. Soc. 141 (2013), 1529-1538
MSC (2010):
Primary 20E45; Secondary 20F10, 37E05
Posted:
October 16, 2012
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Additional Information
Abstract: We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group  using the standard action of  as a group of piecewise linear homeomorphisms of the unit interval.
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J. Belk and F. Matucci, Conjugacy in Thompson's groups, Preprint available at http://arxiv.org/abs/0708.4250.
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0710.3633.
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(98g:20058)
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(98f:20013)
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linear functions, Groups Geom. Dyn. 6 (2012),
no. 2, 279–315. MR
2914861, http://dx.doi.org/10.4171/GGD/158
- 1.
- J. Belk and F. Matucci, Conjugacy in Thompson's groups, Preprint available at http://arxiv.org/abs/0708.4250.
- 2.
- -, Dynamics in Thompson's groups, Preprint available at http://arxiv.org/abs/
0710.3633.
- 3.
- M. G. Brin and C. C. Squier, Presentations, conjugacy, roots, and centralizers in groups of piecewise linear homeomorphisms of the real line, Comm. Algebra 29 (2001), no. 10, 4557-4596. MR 1855112 (2002h:57047)
- 4.
- J. W. Cannon, W. J. Floyd, and W. R. Parry, Introductory notes on Richard Thompson's groups, Enseign. Math. (2) 42 (1996), no. 3-4, 215-256. MR 1426438 (98g:20058)
- 5.
- V. Guba and M. Sapir, Diagram groups, Mem. Amer. Math. Soc. 130 (1997), no. 620, viii+117 pp. MR 1396957 (98f:20013)
- 6.
- M. Kassabov and F. Matucci, The simultaneous conjugacy problem in groups of piecewise linear functions, Groups Geom. Dyn. 6 (2012), no. 2, 279-315. MR 2914861
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Additional Information
Nick Gill
Affiliation:
Department of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, United Kingdom
Email:
n.gill@open.ac.uk
Ian Short
Affiliation:
Department of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, United Kingdom
Email:
i.short@open.ac.uk
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11432-7
PII:
S 0002-9939(2012)11432-7
Keywords:
Conjugacy,
piecewise linear,
Thompson.
Received by editor(s):
October 6, 2009
Received by editor(s) in revised form:
August 31, 2011
Posted:
October 16, 2012
Communicated by:
Alexander N. Dranishnikov
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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