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://dx.doi.org/doi: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
Funders:	Science Foundation Ireland, grant 05/RFP/MAT0003
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	22462
Depositing User:	Ian Short
Date Deposited:	29 Jul 2010 11:49
Last Modified:	09 Dec 2012 20:31
URI:	http://oro.open.ac.uk/id/eprint/22462

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