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On the top-dimensional cohomology groups of congruence subgroups of $\mathrm{SL}(n,\mathbb{Z})$

Jeremy Miller, Peter Patzt and Andrew Putman

Geometry & Topology 25 (2021) 999–1058
Bibliography
1 A Adem, Buildings, group extensions and the cohomology of congruence subgroups, from: "Homotopy theory via algebraic geometry and group representations" (editors M Mahowald, S Priddy), Contemp. Math. 220, Amer. Math. Soc. (1998) 1 MR1642885
2 A Ash, Cohomology of subgroups of finite index of SL(3,Z) and SL(4,Z), Bull. Amer. Math. Soc. 83 (1977) 367 MR430154
3 A Ash, P E Gunnells, M McConnell, Cohomology of congruence subgroups of SL4(), J. Number Theory 94 (2002) 181 MR1904968
4 A Ash, P E Gunnells, M McConnell, Cohomology of congruence subgroups of SL(4, ), II, J. Number Theory 128 (2008) 2263 MR2394820
5 A Ash, P E Gunnells, M McConnell, Cohomology of congruence subgroups of SL4(), III, Math. Comp. 79 (2010) 1811 MR2630015
6 H Bass, M Lazard, J P Serre, Sous-groupes d’indice fini dans SL(n,), Bull. Amer. Math. Soc. 70 (1964) 385 MR161913
7 M Bestvina, PL Morse theory, Math. Commun. 13 (2008) 149 MR2488666
8 A Borel, Stable real cohomology of arithmetic groups, Ann. Sci. École Norm. Sup. 7 (1974) 235 MR387496
9 A Borel, J P Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973) 436 MR387495
10 K S Brown, Buildings, Springer (1989) MR969123
11 V A Bykovskii, Generating elements of the annihilating ideal for modular symbols, Funktsional. Anal. i Prilozhen. 37 (2003) 27 MR2083229
12 R Charney, A generalization of a theorem of Vogtmann, J. Pure Appl. Algebra 44 (1987) 107 MR885099
13 T Church, A Putman, The codimension-one cohomology of SLn, Geom. Topol. 21 (2017) 999 MR3626596
14 R C Gunning, Lectures on modular forms, 48, Princeton Univ. Press (1962) MR0132828
15 A Hatcher, N Wahl, Stabilization for mapping class groups of 3–manifolds, Duke Math. J. 155 (2010) 205 MR2736166
16 W van der Kallen, Homology stability for linear groups, Invent. Math. 60 (1980) 269 MR586429
17 R Lee, J Schwermer, Cohomology of arithmetic subgroups of SL3 at infinity, J. Reine Angew. Math. 330 (1982) 100 MR641814
18 R Lee, R H Szczarba, On the homology and cohomology of congruence subgroups, Invent. Math. 33 (1976) 15 MR422498
19 J L Mennicke, Finite factor groups of the unimodular group, Ann. of Math. 81 (1965) 31 MR171856
20 J Miller, P Patzt, J C H Wilson, D Yasaki, Non-integrality of some Steinberg modules, J. Topol. 13 (2020) 441 MR4092772
21 A Paraschivescu, On a generalization of the double coset formula, Duke Math. J. 89 (1997) 1 MR1458968
22 D Quillen, Homotopy properties of the poset of nontrivial p–subgroups of a group, Adv. Math. 28 (1978) 101 MR493916
23 L Solomon, The Steinberg character of a finite group with BN–pair, from: "Theory of finite groups" (editors R Brauer, C h Sah), Benjamin (1969) 213 MR0246951