Corpus ID: 221135809

Regularity of Morse geodesics and growth of stable subgroups

  title={Regularity of Morse geodesics and growth of stable subgroups},
  author={M. Cordes and J. Russell and D. Spriano and Abdul Zalloum},
  • M. Cordes, J. Russell, +1 author Abdul Zalloum
  • Published 2020
  • Mathematics
  • 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… CONTINUE READING

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