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

I. Bondarenko*, R. Kravchenko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)1612-1618
Number of pages7
JournalUkrainian Mathematical Journal
Volume65
Issue number11
DOIs
StatePublished - Jun 2014

ASJC Scopus subject areas

  • Mathematics(all)

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