Proceedings of the National Academy of Sciences · 1975 · 10 citations · 2 references
Natural SciencesMathematicsNumber TheoryArithmetic GeometryCohomology TheoryGalois TheoryGroup TheoryHomological AlgebraHomology TheoryCongruence SubgroupsHomological Algebra Of GroupsHomology GroupsModular HomologySubgroup Structure
Let Gamma(n;p) be the congruence subgroup of SL(n;Z) of level p. We study the homology and cohomology of Gamma(n;p) as modules over SL(n;F(p)) and apply our results to obtain an upper bound for the order of K(3)(Z).
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Armand Borel, J-P. Serre · Commentarii Mathematici Helvetici · 1973 · 659 citations
Finite Factor Groups of the Unimodular Group
J. L. Mennicke · Annals of Mathematics · 1965 · 156 citations