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.
On the generalized membership problem in relatively hyperbolic groups
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abstract
The aim of this short note is to provide a proof of the decidability of the generalized membership problem for relatively quasi-convex subgroups of finitely presented relatively hyperbolic groups, under some reasonably mild conditions on the peripheral structure of these groups. These hypotheses are satisfied, in particular, by toral relatively hyperbolic groups.
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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.