Strongly aperiodic subshifts on surface groups

  • David Bruce Cohen

    University of Chicago, USA
  • Chaim Goodman-Strauss

    University of Arkansas, Fayetteville, USA


We give strongly aperiodic subshifts of nite type on every hyperbolic surface group; more generally, for each pair of expansive primitive symbolic substitution systems with incommensurate growth rates, we construct strongly aperiodic subshifts of finite type on their orbit graphs.

Cite this article

David Bruce Cohen, Chaim Goodman-Strauss, Strongly aperiodic subshifts on surface groups. Groups Geom. Dyn. 11 (2017), no. 3, pp. 1041–1059

DOI 10.4171/GGD/421