149 citations · 595 across the 59 of their papers we have counts for
6 papers · 2 filters
Property (NL) for group actions on hyperbolic spaces
Sahana Balasubramanya, Francesco Fournier-Facio, Anthony Genevois +1
We introduce Property (NL), which indicates that a group does not admit any (isometric) action on a hyperbolic space with loxodromic elements. In other words, such a group can…
Rigidity of mapping class groups mod powers of twists
Giorgio Mangioni, Alessandro Sisto
We study quotients of mapping class groups of punctured spheres by suitable large powers of Dehn twists, showing an analogue of Ivanov's theorem for the automorphisms of the corres…
Characterising acylindrical hyperbolicity via permutation actions
Uri Bader, Alessandro Sisto
We characterise acylindrical hyperbolicity of a group in terms of properties of an action of the group on a set (without any extra structure). In particular, this applies to the ac…
Some examples of separable convex-cocompact subgroups
Mark Hagen, Alessandro Sisto
Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact s…
Hyperbolic actions of higher-rank lattices come from rank-one factors
Uri Bader, Pierre-Emmanuel Caprace, Alex Furman +1
We study actions of higher rank lattices on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of . In particul…
The word problem for free groups cannot be solved in linear time*
Alessandro Sisto
*by a standard (one-tape) Turing machine. It is well-known that the word problem for hyperbolic groups, whence in particular for free groups, can be solved in linear time. However,…