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