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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Conjugacy in Thompson’s group $F$
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by Nick Gill and Ian Short PDF
Proc. Amer. Math. Soc. 141 (2013), 1529-1538 Request permission

Abstract:

We complete the program begun by Brin and Squier of characterising conjugacy in Thompson’s group $F$ using the standard action of $F$ as a group of piecewise linear homeomorphisms of the unit interval.
References
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Additional Information
  • Nick Gill
  • Affiliation: Department of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, United Kingdom
  • MR Author ID: 799070
  • Email: n.gill@open.ac.uk
  • Ian Short
  • Affiliation: Department of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, United Kingdom
  • MR Author ID: 791601
  • ORCID: 0000-0002-7360-4089
  • Email: i.short@open.ac.uk
  • Received by editor(s): October 6, 2009
  • Received by editor(s) in revised form: August 31, 2011
  • Published electronically: October 16, 2012
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1529-1538
  • MSC (2010): Primary 20E45; Secondary 20F10, 37E05
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11432-7
  • MathSciNet review: 3020840