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Reversibility in the Diffeomorphism Group of the Real Line

O'Farrell, Anthony G. and Short, Ian (2009) Reversibility in the Diffeomorphism Group of the Real Line. Publicacions Matemàtiques, 53 (2). pp. 401-405. ISSN 0214-1493

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Abstract

An element of a group is said to be reversible if it is conjugate to its inverse. We characterise the reversible elements in the group of diffeomorphisms of the real line, and in the subgroup of order preserving diffeomorphisms.

Item Type: Article
Additional Information: Preprint version of published article. Both authors were supported by Science Foundation Ireland grant 05/RFP/MAT0003. The first author was also supported by the ESF Network HCAA. The authors are grateful to Etienne Ghys for valuable assistance.
Keywords: Reversibility; Diffeomorphism Group; Real Line; reversible; involution; conjugacy;
Subjects: Science & Engineering > Mathematics & Statistics
Item ID: 2787
Depositing User: Prof. Anthony O'Farrell
Date Deposited: 24 Oct 2011 14:28
Journal or Publication Title: Publicacions Matemàtiques
Publisher: Universitat Autonoma de Barcelona
Refereed: No
URI:

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