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math.GR2017
Isomorphisms between big mapping class groups
Juliette Bavard, Spencer Dowdall, Kasra Rafi
We show that any isomorphism between mapping class groups of orientable infinite-type surfaces is induced by a homeomorphism between the surfaces. Our argument additionally applies…
math.GR2015
Big mapping class groups are not acylindrically hyperbolic
Juliette Bavard, Anthony Genevois
We give a criterion to prove that some groups are not acylindrically hyperbolic. As an application, we prove that the mapping class group of an infinite type surface is not acylind…