Torsion classes in the cohomology of congruence subgroups
1989 ◽
Vol 105
(2)
◽
pp. 241-248
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Keyword(s):
For any prime number p, let Γn, p denote the congruence subgroup of SLn(ℤ) of level p, i.e. the kernel of the surjective homomorphism fp: SLn(ℤ) → SLn(p) induced by the reduction mod p (Fp is the field with p elements). We defineusing upper left inclusions Γn, p ↪ Γn+1, p. Recall that the groups Γn, p are homology stable with M-coefficients, for instance if M = ℚ, ℤ[1/p], or ℤ/q with q prime and q ╪ p: Hi(Γn, p; M) ≅ Hi(Γp; M) for n ≥ 2i + 5 from [7] (but the homology stability fails if M = ℤ or ℤ/p).
1981 ◽
Vol 89
(1)
◽
pp. 23-27
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Keyword(s):
1984 ◽
Vol 12
(17-18)
◽
pp. 2081-2123
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1977 ◽
Vol 18
(1)
◽
pp. 109-111
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1996 ◽
Vol 119
(1)
◽
pp. 17-22
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Keyword(s):
1978 ◽
Vol 19
(2)
◽
pp. 173-197
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Keyword(s):
1999 ◽
Vol 51
(2)
◽
pp. 266-293
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1969 ◽
Vol 21
◽
pp. 712-729
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Keyword(s):
1984 ◽
Vol 99
(1-2)
◽
pp. 115-126
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Keyword(s):