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.

DOI: https://doi.org/10.1112/blms/bdp065

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.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI

About

• Item ORO ID
• 22462
• Item Type
• Journal Item
• ISSN
• 1469-2120
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Not Set	Not Set	Science Foundation Ireland, grant 05/RFP/MAT0003

• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2009 London Mathematical Society
• Depositing User
• Ian Short