Schreier Graphs for a Self-Similar Action of the Heisenberg Group

  • I. Bondarenko
  • R. Kravchenko

Abstract

We construct a faithful self-similar action of the discrete Heisenberg group with the following properties: This action is self-replicating, finite-state, level-transitive, and noncontracting. Moreover, there exist orbital Schreier graphs of action on the boundary of the tree with different degrees of growth.
Published
25.11.2013
How to Cite
BondarenkoI., and KravchenkoR. “Schreier Graphs for a Self-Similar Action of the Heisenberg Group”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 11, Nov. 2013, pp. 1456–1462, http://umj.imath.kiev.ua/index.php/umj/article/view/2525.
Section
Research articles