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Gill, Nick; O'Farrell, Anthony G. and Short, Ian
(2009).
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.
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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