Reversibility in the groups of PL^+(S^1) and PL(S^1)

Reversibility in the groups of PL^+(S^1) and PL(S^1)

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...

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Veröffentlicht in:arXiv.org 2014-12
Hauptverfasser: Khadija Ben Rejeb, Marzougui, Habib
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Group Theory
Topology
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1407.7253