Linear representations of 3-manifold groups over rings

2017/03/20 by Friedl, Stefan, Gill, Montek, Tillmann, Stephan · 1 citation
#57M27 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1703.06609

Abstract

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 PGL(2,R), where R is some finite commutative ring with identity. We give an equivalent formulation of Luo's conjecture via faithful representations and provide various examples and a counterexample.

Cited by

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

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