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math.GR2022
A note on subgroups of the Loch Ness Monster Surface's Mapping Class Group
Yannick Krifka, Davide Spriano
In this short note we give an elementary proof of the fact that every countable group is a subgroup of the mapping class group of the Loch Ness monster surface.
math.GR2020★ 6 cited
Hierarchical hyperbolicity of hyperbolic-2-decomposable groups
Bruno Robbio, Davide Spriano
Let G be a graph of hyperbolic groups with 2-ended edge groups. We show that G is hierarchically hyperbolic if and only if G has no distorted infinite cyclic subgroup. More precise…
math.GR2018★ 6 cited
Hyperbolic HHS II: Graphs of hierarchically hyperbolic groups
Davide Spriano
In this paper we consider a large family of graphs of hierarchically hyperbolic groups (HHG) and show that their fundamental groups admit HHG structures. To do that, we will invest…