2017
Том 69
№ 9

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

Bondarenko I., Kravchenko R.

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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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1612-1618.

Citation Example: Bondarenko I., Kravchenko R. Schreier Graphs for a Self-Similar Action of the Heisenberg Group // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1456–1462.

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