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Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture

Hyman Bass, Alexander Lubotzky

math.RTarXiv:math/0005302

Abstract

Margulis showed 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.

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