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Cohomology of subgroups of finite index of $SL\left( {3,Z} \right)$ and $SL\left( {4,Z} \right)$
Author:
Avner Ash
Journal:
Bull. Amer. Math. Soc. 83 (1977), 367-368
MSC (1970):
Primary 10E25, 22E40
MathSciNet review:
0430154
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References |
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Additional Information
- 1.
Ronnie
Lee and R.
H. Szczarba, On the homology and cohomology of congruence
subgroups, Invent. Math. 33 (1976), no. 1,
15–53. MR
0422498 (54 #10485)
- 2.
A.
Borel and J.-P.
Serre, Corners and arithmetic groups, Comment. Math. Helv.
48 (1973), 436–491. Avec un appendice:
Arrondissement des variétés à coins, par A. Douady et
L. Hérault. MR 0387495
(52 #8337)
- 3.
D.
A. Každan, On the connection of the dual space of a group
with the structure of its closed subgroups, Funkcional. Anal. i
Priložen. 1 (1967), 71–74 (Russian). MR 0209390
(35 #288)
- 4.
A.
Ash, D.
Mumford, M.
Rapoport, and Y.
Tai, Smooth compactification of locally symmetric varieties,
Math. Sci. Press, Brookline, Mass., 1975. Lie Groups: History, Frontiers
and Applications, Vol. IV. MR 0457437
(56 #15642)
- 5.
Avner
Ash, Deformation retracts with lowest possible dimension of
arithmetic quotients of self-adjoint homogeneous cones, Math. Ann.
225 (1977), no. 1, 69–76. MR 0427490
(55 #522)
- 6.
M.
I. Štogrin, Locally quasidensest lattice packings of
spheres, Dokl. Akad. Nauk SSSR 218 (1974),
62–65 (Russian). MR 0360476
(50 #12924)
- 7.
J. Neubüser, H. Wondratschek and R. Būlow, On crystallography in higher dimensions. I, II, III, Acta Cryst. A27 (1971), 517-535.
- 8.
William
A. Simpson and J.
Sutherland Frame, The character tables for
𝑆𝐿(3,𝑞), 𝑆𝑈(3,𝑞²),
𝑃𝑆𝐿(3,𝑞),
𝑃𝑆𝑈(3,𝑞²), Canad. J. Math.
25 (1973), 486–494. MR 0335618
(49 #398)
- 9.
Armand
Borel, Stable real cohomology of arithmetic groups, Ann. Sci.
École Norm. Sup. (4) 7 (1974), 235–272
(1975). MR
0387496 (52 #8338)
- 1.
- R. Lee and R. H. Czarba, On the homology and cohomology of congruence subgroups, Invent. Math. 33 (1976), 15-53. MR 422498
- 2.
- A. Borel and J. -P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973), 436-491. MR 52 #8337. MR 387495
- 3.
- D. A. Každan, Connection of the dual space of a group with the structure of its closed subgroups, Funkcional Anal. i Priložen 1 (1967), 71-74. (Russian) MR 35 #288. MR 209390
- 4.
- A. Ash, D. Mumford, M. Rapoport and Y. Tai, Smooth compactification of locally symmetric varieties, Math. Sci. Press, Brookline, Mass., 1975. MR 457437
- 5.
- A. Ash, Deformation retracts with lowest possible dimensions of arithmetic quotients of self-adjoint homogeneous cones, Math. Ann. 225 (1977), 69-76. MR 427490
- 6.
- M. I. Štogrin, Locally quasidensest lattice packings of spheres, Dokl. Akad. Nauk SSSR 218 (1974), 62-65 = Soviet Math. Dokl. 15 (1974), 1288-1292. (Russian) MR 50 #12924. MR 360476
- 7.
- J. Neubüser, H. Wondratschek and R. Būlow, On crystallography in higher dimensions. I, II, III, Acta Cryst. A27 (1971), 517-535.
- 8.
- W. Simpson and J. S. Frame, The character tables for SL(3, , Canad. J. Math. 25 (1973), 486-494. MR 49 #398. MR 335618
- 9.
- A. Borel, Stable real cohomology of arithmetic groups, Ann. Sci. École Norm Sup (4) 7 (1974), 235-272. MR 52 #8338. MR 387496
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1977-14271-7
PII:
S 0002-9904(1977)14271-7
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