A set of algorithms detects stability and Morseness of finitely generated subgroups in mapping class groups, right-angled Artin groups, toral relatively hyperbolic groups, and limit groups.
Hyperbolicities in CAT(0) cube complexes
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abstract
This paper is a survey dedicated to the following question: given a group acting on some CAT(0) cube complex, how to exploit this action to determine whether or not the group is Gromov / relatively / acylindrically hyperbolic? As much as possible, the different criteria we mention are illustrated by applications. We also propose a model for universal acylindrical actions of cubulable groups and give a few applications to Morse, stable and hyperbolically embedded subgroups.
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math.GR 1years
2019 1verdicts
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Algorithms detecting stability and Morseness for finitely generated groups
A set of algorithms detects stability and Morseness of finitely generated subgroups in mapping class groups, right-angled Artin groups, toral relatively hyperbolic groups, and limit groups.