July 10, 2024Open Access

Residual finiteness and discrete subgroups of Lie groups

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Abstract

Let G be a real Lie group and < G be a discrete subgroup of G. Is residually finite? This paper describes known positive and negative results then poses some questions whose answers will lead to a fairly complete answer for lattices.

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Matthew Stover (Wed,) studied this question.

synapsesocial.com/papers/68e60ce9b6db6435875a04bf https://doi.org/https://doi.org/10.48550/arxiv.2407.07680

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3On Closed Abelian Subgroups of Real Lie Groups1997
4Commensurators of thin normal subgroups and abelian quotients2024 · 2 citations
5Descent and finite permutation resolutions for discrete groups2026

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