Groups, Geometry, and Dynamics
Full-Text PDF (216 KB) | Metadata | Table of Contents | GGD summary
Published online: 2012-11-10
Arithmetic aspects of self-similar groupsMichael Kapovich (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