Isabelle Liousse

most citedBurnside problem for groups of homeomorphisms of compact surfaces

2 citations · 2 across the 2 of their papers we have counts for

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math.DS2023

Interval Exchange Transformations groups. Free actions and dynamics of virtually abelian groups

Nancy Guelman, Isabelle Liousse

Hölder's theorem states that any group acting freely by circle homeomorphisms is abelian, this is no longer true for interval exchange transformations: we first give examples of fr…

math.DS2014★ 2 cited

Burnside problem for groups of homeomorphisms of compact surfaces

Nancy Guelman, Isabelle Liousse

A group $Γ$ is said to be periodic if for any $g$ in $Γ$ there is a positive integer $n$ with $g^{n} = i d$ . We first prove that a finitely generated periodic group acting on the 2-sphe…