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math.GR2006
Free subgroups of surface mapping class groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We quantify the generation of free subgroups of surface mapping class groups by pseudo-Anosov mapping classes in terms of their translation distance and the distance between their…
math.GR2005
Uniformly exponential growth and mapping class groups of surfaces
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups. This provides further evidenc…