Groups, Geometry, and Dynamics

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Volume 6, Issue 4, 2012, pp. 737–754
DOI: 10.4171/GGD/172

Published online: 2012-11-10

Arithmetic aspects of self-similar groups

Michael Kapovich[1]

(1) University of California at Davis, United States

We prove that an irreducible lattice in a semisimple algebraic group is virtually isomorphic to an arithmetic lattice if and only if it admits a faithful self-similar action on a rooted tree of finite valency.

Keywords: Arithmetic groups, self-similar actions

Kapovich Michael: Arithmetic aspects of self-similar groups. Groups Geom. Dyn. 6 (2012), 737-754. doi: 10.4171/GGD/172