Browsing by Author "Cohen, David Bruce"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    The large scale geometry of strongly aperiodic subshifts of finite type
    (2015-04-22) Cohen, David Bruce; Putman, Thomas Andrew; Cox, Steven J; Veech, William A
    A subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is said to be of finite type if it is defined by a finite collection of “forbidden patterns” and to be strongly aperiodic if it has no points fixed by a nontrivial element of the group. We show that if G has at least two ends, then there are no strongly aperiodic subshifts of finite type on G (as was previously known for free groups). Additionally, we show that among torsion free, finitely presented groups, the property of having a strongly aperiodic subshift of finite type is invariant under quasi isometry.