2019
Том 71
№ 10

All Issues

Bondarenko I.

Articles: 1
Article (English)

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

Bondarenko I., Kravchenko R.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1456–1462

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.