Work

The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.17078

Authors: Shalom, Yehuda, Venkataramana, Tyakal, Willis, George

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7169851677

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