Volume 15, issue 5 (2015)

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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
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