Schreier Graphs for a Self-Similar Action of the Heisenberg Group
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...
Saved in:
| Date: | 2013 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
|
| Series: | Український математичний журнал |
| Subjects: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Schreier Graphs for a Self-Similar Action of the Heisenberg Group / I. Bondarenko, R. Kravchenko // Український математичний журнал. — 2013. — Т. 65, № 11. — С. 1456–1462. — Бібліогр.: 7 назв. — англ. |