Abstract

An element g in a group G is called reversible if g−1=hgh−1 for some h∈G. We give a complete characterization of reversibility in the group PL(S) of piecewise linear homeomorphisms of the circle with finite number of break points. This work is the continuation of the study done by K. Ben Rejeb and H. Marzougui in (2019) [2], in particular we answer a question raised in it. This work is also a comparison and an extension to results of reversibility in the groups PL(R) and Homeo(S); some interesting examples are constructed here to answer questions that can be raised in this subject.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.