Some more Non-arithmetic Rigid groups

TL;DR

This paper introduces a broader class of non-arithmetic super-rigid linear groups, providing simpler proofs and expanding on counterexamples to Platonov's conjecture in the context of group theory.

Contribution

It presents a richer class of non-arithmetic super-rigid groups with a simpler proof, advancing understanding of counterexamples to Platonov's conjecture.

Findings

Identified a broader class of super-rigid groups

Provided a simpler proof of their properties

Extended counterexamples to Platonov's conjecture

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.