Algebraic & Geometric Topology Volume 15, issue 5 (2015)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Constructing thin subgroups commensurable with the figure-eight knot group

Samuel Ballas and Darren D Long

Algebraic & Geometric Topology 15 (2015) 3009–3022

DOI: 10.2140/agt.2015.15.3011

Abstract

We find infinitely many lattices in $SL (4, R)$ , each of which contains thin subgroups commensurable with the figure-eight knot group.

Keywords

projective structures, figure-eight, thin groups, Zariski dense

Mathematical Subject Classification 2010

Primary: 57M60

References

Publication

Received: 29 October 2014

Revised: 24 December 2014

Accepted: 11 January 2015

Published: 10 December 2015

Authors

Samuel Ballas
Department of Mathematics University of California Santa Barbara Santa Barbara, CA 93106-3080 USA
http://www.math.ucsb.edu/~sballas
Darren D Long
Department of Mathematics University of California Santa Barbara Santa Barbara, CA 93106-3080 USA
http://www.math.ucsb.edu/~long