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

Habib Marzougui; Khadija Ben Rejeb

arxiv: 1407.7253 · v2 · pith:JOYSWXZXnew · submitted 2014-07-27 · 🧮 math.GR

Reversibility in the groups of PL^+(S¹) and PL(S¹)

Khadija Ben Rejeb , Habib Marzougui This is my paper

classification 🧮 math.GR

keywords circlegrouplinearpiecewisereversiblecalledcharacterisationcharacterize

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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.

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Reversibility in the groups of PL^+(S¹) and PL(S¹)

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