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math.GT2016
A lower bound of the distortion of the Torelli group in the mapping class group with boundary components
Erika Kuno, Genki Omori
We prove that each Torelli group of an orientable surface with any number of boundary components is at least exponentially distorted in the mapping class group by using Broaddus-Fa…
math.GT2016
Abelian subgroups of the mapping class groups for non-orientable surfaces
Erika Kuno
Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping class groups for orientable surfaces is finitely generated. We apply Birman-Lubotzky-McCarthy's arguments t…