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Reversibility in the group of homeomorphisms of the circle

Gill, Nick; O'Farrell, Anthony G. and Short, Ian (2009). Reversibility in the group of homeomorphisms of the circle. Bulletin of the London Mathematical Society, 41(5) pp. 885–897.

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DOI (Digital Object Identifier) Link: http://doi.org/10.1112/blms/bdp065
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Abstract

The group of orientation-preserving homeomorphisms of the circle is simple, and, because there are non-trivial involutions in this group, it must be generated by its involutions. We show that, in this group of homeomorphisms, each element can be expressed as a product of three involutions. We also characterise those elements of the group that can be expressed as a composite of two involutions, and perform a similar characterisation in the full group of homeomorphisms of the circle.

Item Type: Journal Article
Copyright Holders: 2009 London Mathematical Society
ISSN: 1469-2120
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetScience Foundation Ireland, grant 05/RFP/MAT0003
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 22462
Depositing User: Ian Short
Date Deposited: 29 Jul 2010 11:49
Last Modified: 04 Oct 2016 15:55
URI: http://oro.open.ac.uk/id/eprint/22462
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