Volume 15, issue 5 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Constructing thin subgroups commensurable with the figure-eight knot group

Samuel Ballas and Darren D Long

Algebraic & Geometric Topology 15 (2015) 3009–3022
Bibliography
1 H Abels, G A Margulis, G A Soĭfer, Semigroups containing proximal linear maps, Israel J. Math. 91 (1995) 1 MR1348303
2 I Agol, D D Long, A W Reid, The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. 153 (2001) 599 MR1836283
3 S A Ballas, Deformations of noncompact projective manifolds, Algebr. Geom. Topol. 14 (2014) 2595
4 S A Ballas, Finite volume properly convex deformations of the figure-eight knot, Geom. Dedicata 178 (2015) 49 MR3397481
5 S Ballas, D D Long, Computation: Irreducibility
6 S Ballas, D D Long, Computation: Representation traces
7 H Bass, Groups of integral representation type, Pacific J. Math. 86 (1980) 15 MR586867
8 Y Benoist, Automorphismes des cônes convexes, Invent. Math. 141 (2000) 149 MR1767272
9 S Choi, W M Goldman, Convex real projective structures on closed surfaces are closed, Proc. Amer. Math. Soc. 118 (1993) 657 MR1145415
10 D Cooper, D D Long, A generalization of the Epstein–Penner construction to projective manifolds, Proc. Amer. Math. Soc. 143 (2015) 4561 MR3373953
11 D Cooper, D D Long, S Tillmann, Deforming convex projective manifolds
12 I Y Goldsheid, Y Guivarc’h, Zariski closure and the dimension of the Gaussian law of the product of random matrices, I, Probab. Theory Related Fields 105 (1996) 109 MR1389734
13 M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Mathematics 183, Birkhäuser (2001) MR1792613
14 S Lang, Algebra, Graduate Texts in Mathematics 211, Springer (2002) MR1878556
15 D D Long, A W Reid, M Thistlethwaite, Zariski dense surface subgroups in $\mathrm{SL}(3,\mathbf{Z})$, Geom. Topol. 15 (2011) 1 MR2764111
16 L Marquis, Coxeter group in Hilbert geometry, arXiv:1408.3933
17 L Marquis, Around groups in Hilbert geometry, from: "Handbook of Hilbert geometry" (editors A Papadopoulos, M Troyanov), IRMA Lect. Math. Theor. Phys. 22, Eur. Math. Soc. (2014) 207 MR3329882
18 D W Morris, Introduction to arithmetic groups, (2008) arXiv:math/0106063v3
19 G Prasad, A S Rapinchuk, Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces, from: "Thin groups and superstrong approximation" (editors E Breuillard, H Oh), MSRI Publ. 61, Cambridge Univ. Press (2014) 211 MR3220892
20 I Reiner, Maximal orders, London Math. Soc. Monographs 28, Oxford University Press (2003) MR1972204
21 I Rivin, Large Galois groups with applications to Zariski density, (2015) arXiv:1312.3009v4
22 P Sarnak, Notes on thin groups (2012)