most citedThe Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere

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math.GT2009

Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces

Ferihe Atalan

Let Ng be the connected closed nonorientable surface of genus g >= 5 and Mod(Ng) denote the mapping class group of Ng. We prove that the outer automorphism group of Mod(Ng) is eith…

math.GT2008★ 1 cited

The Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere

Ferihe Atalan, Mustafa Korkmaz

We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certai…