Regularity of Morse geodesics and growth of stable subgroups
نویسندگان
چکیده
We prove that Morse local-to-global groups grow exponentially faster than their infinite-index stable subgroups. This generalizes a result of Dahmani, Futer, and Wise in the context quasi-convex subgroups hyperbolic to broad class contains mapping group, CAT(0) groups, fundamental closed 3-manifolds. To accomplish this, we develop theory automatic structures on geodesics groups. Other applications these include description terms regular languages, rationality growth subgroups, density boundary attracting fixed points elements, containment inside limit set any infinite normal subgroup.
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2022
ISSN: ['1753-8424', '1753-8416']
DOI: https://doi.org/10.1112/topo.12245