Volume 16, issue 3 (2012)

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

Volume 30
Issue 6, 2043–2429
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
All finite groups are involved in the mapping class group

Gregor Masbaum and Alan W Reid

Geometry & Topology 16 (2012) 1393–1411
Bibliography
1 I Agol, D D Long, A W Reid, The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. 153 (2001) 599 MR1836283
2 H Bass, J Milnor, J P Serre, Solution of the congruence subgroup problem for $\mathrm{SL}_{n} (n\geq 3)$ and $\mathrm{Sp}_{2n} (n\geq 2)$, Inst. Hautes Études Sci. Publ. Math. (1967) 59 MR0244257
3 N Bergeron, F Haglund, D T Wise, Hyperplane sections in arithmetic hyperbolic manifolds, J. Lond. Math. Soc. 83 (2011) 431 MR2776645
4 J A Berrick, V Gebhardt, L Paris, Finite index subgroups of mapping class groups arXiv:1105.2468
5 C Blanchet, N Habegger, G Masbaum, P Vogel, Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883 MR1362791
6 A Borel, Compact Clifford–Klein forms of symmetric spaces, Topology 2 (1963) 111 MR0146301
7 A Borel, Linear algebraic groups, W. A. Benjamin (1969) MR0251042
8 A Borel, Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. 75 (1962) 485 MR0147566
9 A Borel, J Tits, Compléments à l'article: “Groupes réductifs”, Inst. Hautes Études Sci. Publ. Math. (1972) 253 MR0315007
10 N M Dunfield, W P Thurston, Finite covers of random $3$–manifolds, Invent. Math. 166 (2006) 457 MR2257389
11 N M Dunfield, H Wong, Quantum invariants of random $3$–manifolds, Algebr. Geom. Topol. 11 (2011) 2191 MR2826936
12 L Funar, Zariski density and finite quotients of mapping class groups, to appear in Int. Math. Res. Not. 2012 (2012) arXiv:1106.4165
13 L Funar, W Pitsch, Finite quotients of symplectic groups vs mapping class groups arXiv:1103.1855
14 R Gilman, Finite quotients of the automorphism group of a free group, Canad. J. Math. 29 (1977) 541 MR0435226
15 P M Gilmer, G Masbaum, Maslov index, Lagrangians, mapping class groups and TQFT, to appear in Forum Math. arXiv:0912.4706
16 P M Gilmer, G Masbaum, Integral lattices in TQFT, Ann. Sci. École Norm. Sup. 40 (2007) 815 MR2382862
17 P M Gilmer, G Masbaum, P van Wamelen, Integral bases for TQFT modules and unimodular representations of mapping class groups, Comment. Math. Helv. 79 (2004) 260 MR2059432
18 E K Grossman, On the residual finiteness of certain mapping class groups, J. London Math. Soc. 9 (1974/75) 160 MR0405423
19 F Grunewald, A Lubotzky, Linear representations of the automorphism group of a free group, Geom. Funct. Anal. 18 (2009) 1564 MR2481737
20 D Johnson, The structure of the Torelli group I: A finite set of generators for $\mathcal{I}$, Ann. of Math. 118 (1983) 423 MR727699
21 M Korkmaz, On cofinite subgroups of mapping class groups, Turkish J. Math. 27 (2003) 115 MR1975334
22 M Larsen, Z Wang, Density of the $\mathrm{SO}(3)$ TQFT representation of mapping class groups, Comm. Math. Phys. 260 (2005) 641 MR2183960
23 C J Leininger, D B McReynolds, Separable subgroups of mapping class groups, Topology Appl. 154 (2007) 1 MR2271769
24 D D Long, A W Reid, Surface subgroups and subgroup separability in $3$–manifold topology, IMPA Math. Publ., Inst. Nacional de Mat. Pura e Aplicada (2005) 53 MR2164951
25 E Looijenga, Prym representations of mapping class groups, Geom. Dedicata 64 (1997) 69 MR1432535
26 A Lubotzky, D Segal, Subgroup growth, Progress in Math. 212, Birkhäuser (2003) MR1978431
27 G Masbaum, On representations of mapping class groups in Integral TQFT, Oberwolfach Reports 5 (2008) 1157–1232
28 G Masbaum, J D Roberts, On central extensions of mapping class groups, Math. Ann. 302 (1995) 131 MR1329450
29 G Mess, The Torelli groups for genus $2$ and $3$ surfaces, Topology 31 (1992) 775 MR1191379
30 D W Morris, Ratner's theorems on unipotent flows, Chicago Lectures in Math., Univ. of Chicago Press (2005) MR2158954
31 G D Mostow, On a remarkable class of polyhedra in complex hyperbolic space, Pacific J. Math. 86 (1980) 171 MR586876
32 M V Nori, On subgroups of $\mathrm{GL}_n(\mathbf{F}_p)$, Invent. Math. 88 (1987) 257 MR880952
33 V Platonov, A Rapinchuk, Algebraic groups and number theory, Pure and Applied Math. 139, Academic Press (1994) MR1278263
34 N Reshetikhin, V G Turaev, Invariants of $3$–manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547 MR1091619
35 G Shimura, Arithmetic of unitary groups, Ann. of Math. 79 (1964) 369 MR0158882
36 G Shimura, Arithmetic of Hermitian forms, Doc. Math. 13 (2008) 739 MR2466186
37 J Tits, Classification of algebraic semisimple groups, from: "Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, CO, 1965)" (editors A Borel, G D Mostow), Amer. Math. Soc. (1966) 33 MR0224710
38 J Tits, Reductive groups over local fields, from: "Automorphic forms, representations and $L$–functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, OR, 1977), Part 1" (editor A Borel), Proc. Sympos. Pure Math. XXXIII, Amer. Math. Soc. (1979) 29 MR546588
39 E B Vinberg, Rings of definition of dense subgroups of semisimple linear groups, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971) 45 MR0279206
40 B Weisfeiler, Strong approximation for Zariski-dense subgroups of semisimple algebraic groups, Ann. of Math. 120 (1984) 271 MR763908