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M. Gill

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Preprint Aug 2026

2-Linearizability of Geometric 3-Manifold Groups Over Commutative Rings

The fundamental groups of compact 3-manifolds are known to be residually finite. Feng Luo conjectured that a stronger statement is true, by only allowing finite groups of the form $\mathrm{PGL}(2,R)$, where $R$ is a finite commutative ring. In earlier work, this conjecture was disproven in full generality. The conjectu...

M. Gill · 0 citations