Nonarithmetic superrigid groups: counterexamples to Platonov’s conjecture

Abstract

Margulis shows that “most” arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of “arithmetic type.” We construct counterexamples to Platonov’s Conjecture.

DOI
https://doi.org/10.2307/121131

Authors

Hyman Bass

Alexander Lubotzky