Open Access
2011 Small Subgroups of ${\sf SL}(3, \mathbb{Z})$
D. D. Long, A. W. Reid
Experiment. Math. 20(4): 412-425 (2011).


Motivated in part by various questions of Serre, Labourie and Lubotzky, we consider the question of representing the fundamental group of the figure eight knot complement into ${\sf SL}(3, \mathbb{Z})$. We explore questions of faithfulness and finite index for such representations.


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D. D. Long. A. W. Reid. "Small Subgroups of ${\sf SL}(3, \mathbb{Z})$." Experiment. Math. 20 (4) 412 - 425, 2011.


Published: 2011
First available in Project Euclid: 8 December 2011

zbMATH: 1269.57002
MathSciNet: MR2859899

Primary: 20C12

Keywords: Figure-eight knot group , integral representation , Zariski dense

Rights: Copyright © 2011 A K Peters, Ltd.

Vol.20 • No. 4 • 2011
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