Reversibility in the groups of PL^+(S^1) and PL(S^1)
Group Theory
2019-01-15 v2
Abstract
Let PL+(S1) be the group of order preserving piecewise linear homeomorphisms of the circle. An element in PL+(S1) is called reversible in PL+(S1) if it is conjugate to its inverse in PL+(S1). We characterize the reversible elements in PL+(S1). We also perform a sim- ilar characterisation in the full group PL(S1) of piecewise linear home- omorphisms of the circle.
Cite
@article{arxiv.1407.7253,
title = {Reversibility in the groups of PL^+(S^1) and PL(S^1)},
author = {Khadija Ben Rejeb and Habib Marzougui},
journal= {arXiv preprint arXiv:1407.7253},
year = {2019}
}