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arxiv: 1511.05492 · v2 · pith:KXGUXURBnew · submitted 2015-11-17 · 🧮 math.GR · math.GT

Big mapping class groups are not acylindrically hyperbolic

classification 🧮 math.GR math.GT
keywords acylindricallyhyperbolicclassgroupsmappingproveapplicationcriterion
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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 acylindrically hyperbolic.

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