Groups, Geometry, and Dynamics


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Volume 8, Issue 2, 2014, pp. 479–483
DOI: 10.4171/GGD/235

Published online: 2014-07-08

Aperiodic tilings of manifolds of intermediate growth

Michał Marcinkowski[1] and Piotr W. Nowak[2]

(1) Warszawa, Poland
(2) Polskiej Akademii Nauk, Warszawa, Poland

We give a homological construction of aperiodic tiles for certain open Riemannian surfaces admitting actions of Grigorchuk groups of intermediate growth.

Keywords: Aperiodic tiles, groups acting on trees, groups of intermediate growth, coarse homology

Marcinkowski Michał, Nowak Piotr: Aperiodic tilings of manifolds of intermediate growth. Groups Geom. Dyn. 8 (2014), 479-483. doi: 10.4171/GGD/235