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Some more Non-arithmetic Rigid groups

2011/05/24 by Alexander Lubotzky, Lubotzky, Alexander
Engineering · Mathematics · #Advanced Materials and Mechanics #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1105.4785

openalex publication_date 2011/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In "Non arithmetic super rigid groups: counter examples to Platonov's conjecture" Bass and Lubotzky gave a counter example to Platonov's conjecture by presenting an example of a linear group with super-rigidity which is not an arithmetic lattice. In this note, a much richer class of such groups is presented with a somewhat simpler proof.

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