Volume 18, issue 5 (2018)

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The action of matrix groups on aspherical manifolds

Shengkui Ye

Algebraic & Geometric Topology 18 (2018) 2875–2895
Bibliography
1 H Bass, J Milnor, J P Serre, Solution of the congruence subgroup problem for SLn (n 3) and Sp2n, (n 2), Inst. Hautes Études Sci. Publ. Math. 33 (1967) 59 MR0244257
2 A J Berrick, An approach to algebraic K–theory, 56, Pitman (1982) MR649409
3 A Borel, Seminar on transformation groups, 46, Princeton Univ. Press (1960) MR0116341
4 G E Bredon, Orientation in generalized manifolds and applications to the theory of transformation groups, Michigan Math. J. 7 (1960) 35 MR0116342
5 G E Bredon, Sheaf theory, 170, Springer (1997) MR1481706
6 M R Bridson, K Vogtmann, Actions of automorphism groups of free groups on homology spheres and acyclic manifolds, Comment. Math. Helv. 86 (2011) 73 MR2745276
7 A Brown, D Fisher, S Hurtado, Zimmer’s conjecture : subexponential growth, measure rigidity, and strong property (T), preprint (2016) arXiv:1608.04995
8 A Brown, F Rodriguez Hertz, Z Wang, Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds, preprint (2016) arXiv:1609.05565
9 H Brown, R Bülow, J Neubüser, H Wondratschek, H Zassenhaus, Crystallographic groups of four-dimensional space, Wiley (1978) MR0484179
10 K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
11 L S Charlap, A T Vasquez, Compact flat riemannian manifolds, III : The group of affinities, Amer. J. Math. 95 (1973) 471 MR0336658
12 C Cid, T Schulz, Computation of five- and six-dimensional Bieberbach groups, Experiment. Math. 10 (2001) 109 MR1822856
13 R K Dennis, M R Stein, The functor K2 : a survey of computations and problems, from: "Algebraic K–theory, II : “Classical” algebraic K–theory and connections with arithmetic" (editor H Bass), Lecture Notes in Math. 342, Springer (1973) 243 MR0354815
14 B Farb, P Shalen, Real-analytic actions of lattices, Invent. Math. 135 (1999) 273 MR1666834
15 D Fisher, Groups acting on manifolds : around the Zimmer program, from: "Geometry, rigidity, and group actions" (editors B Farb, D Fisher), Univ. Chicago Press (2011) 72 MR2807830
16 M Gromov, Almost flat manifolds, J. Differential Geom. 13 (1978) 231 MR540942
17 K W Gruenberg, Cohomological topics in group theory, 143, Springer (1970) MR0279200
18 P Igodt, W Malfait, Extensions realising a faithful abstract kernel and their automorphisms, Manuscripta Math. 84 (1994) 135 MR1285953
19 W van der Kallen, The Schur multipliers of SL(3,Z) and SL(4,Z), Math. Ann. 212 (1974/75) 47 MR0354893
20 D Kielak, Outer actions of Out(Fn) on small right-angled Artin groups, Algebr. Geom. Topol. 18 (2018) 1041 MR3773746
21 V Landazuri, G M Seitz, On the minimal degrees of projective representations of the finite Chevalley groups, J. Algebra 32 (1974) 418 MR0360852
22 R Lee, R H Szczarba, On the homology and cohomology of congruence subgroups, Invent. Math. 33 (1976) 15 MR0422498
23 B A Magurn, An algebraic introduction to K–theory, 87, Cambridge Univ. Press (2002) MR1906572
24 J Milnor, Introduction to algebraic K–theory, 72, Princeton Univ. Press (1971) MR0349811
25 A Navas, Groups of circle diffeomorphisms, Univ. Chicago Press (2011) MR2809110
26 E A Ruh, Almost flat manifolds, J. Differential Geom. 17 (1982) 1 MR658470
27 A Szczepański, Holonomy groups of five-dimensional Bieberbach groups, Manuscripta Math. 90 (1996) 383 MR1397664
28 S Weinberger, SL(n, ) cannot act on small tori, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 406 MR1470739
29 S Weinberger, Some remarks inspired by the C0 Zimmer program, from: "Geometry, rigidity, and group actions" (editors B Farb, D Fisher), Univ. Chicago Press (2011) 262 MR2807834
30 D Witte, Arithmetic groups of higher Q–rank cannot act on 1–manifolds, Proc. Amer. Math. Soc. 122 (1994) 333 MR1198459
31 J A Wolf, Spaces of constant curvature, 372, Amer. Math. Soc. (2011) MR2742530
32 S Ye, Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds, J. Algebra 409 (2014) 219 MR3198841
33 R J Zimmer, D W Morris, Ergodic theory, groups, and geometry, 109, Amer. Math. Soc. (2008) MR2457556