Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture

• 成果类型: Article
• 署名作者: Bass, H; Lubotzky, A
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121131
• 发表日期: 2000
• 页码: 1151-1173
• 关键词: cohomology

摘要

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.