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• W3049320756 endingPage "1247" @default.
• W3049320756 startingPage "1217" @default.
• W3049320756 abstract "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 of quasi-convex subgroups of hyperbolic groups to a broad class of groups that contains the mapping class group, CAT(0) groups, and the fundamental groups of closed 3-manifolds. To accomplish this, we develop a theory of automatic structures on Morse geodesics in Morse local-to-global groups. Other applications of these automatic structures include a description of stable subgroups in terms of regular languages, rationality of the growth of stable subgroups, density in the Morse boundary of the attracting fixed points of Morse elements, and containment of the Morse boundary inside the limit set of any infinite normal subgroup." @default.
• W3049320756 created "2020-08-21" @default.
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• W3049320756 date "2022-06-24" @default.
• W3049320756 modified "2023-09-26" @default.
• W3049320756 title "Regularity of Morse geodesics and growth of stable subgroups" @default.
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• W3049320756 doi "https://doi.org/10.1112/topo.12245" @default.
• W3049320756 hasPublicationYear "2022" @default.
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