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Nonarithmetic Superrigid Groups: Counterexamples to Platonov's Conjecture

2000; Princeton University; Volume: 151; Issue: 3 Linguagem: Inglês

10.2307/121131

1939-8980

Hyman Bass, Alexander Lubotzky,

Advanced Algebra and Geometry

Margulis showed that most 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.