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arXiv · 2607.17078

The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups

Yehuda Shalom·Tyakal Venkataramana·George Willis
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Abstract

We prove that every infinite subgroup of a higher rank irreducible lattice in a semi-simple Lie group has finite index in the lattice, proving the Margulis-Zimmer conjecture for these lattices. The method of proof combines the method used in a work of Shalom and Willis and also some work of Raghunathan and Venkataramana.

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Yehuda Shalom, Tyakal Venkataramana, George Willis. 2026-07-19. The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups. https://arxiv.org/abs/2607.17078

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