LINEAR REPRESENTATIONS OF 3-MANIFOLD GROUPS OVER RINGS

Friedl, Stefan and Gill, Montek and Tillmann, Stephan (2018) LINEAR REPRESENTATIONS OF 3-MANIFOLD GROUPS OVER RINGS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146 (11). pp. 4951-4966. ISSN 0002-9939, 1088-6826

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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.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Dec 2019 10:16
Last Modified: 04 Dec 2019 10:16
URI: https://pred.uni-regensburg.de/id/eprint/13659

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