Open AccessOn the Homology of Congruence Subgroups and K 3 (Z)
Author(s) -
Ronnie Lee,
Robert H. Szczarba
Publication year - 1975
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.72.2.651
Subject(s) - congruence (geometry) , homology (biology) , mathematics , combinatorics , cohomology , congruence subgroup , pure mathematics , biology , genetics , geometry , amino acid
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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