Arithmetic aspects of self-similar groups

  • Michael Kapovich

    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.

Cite this article

Michael Kapovich, Arithmetic aspects of self-similar groups. Groups Geom. Dyn. 6 (2012), no. 4, pp. 737–754

DOI 10.4171/GGD/172