Abstract
We relate the completed cohomology groups of , where is the ring of integers of a number field, to –theory and Galois cohomology. Various consequences include showing that Borel’s stable classes become infinitely –divisible up the –congruence tower if and only if a certain –adic zeta value is nonzero. We use our results to compute (for sufficiently large ), where is the full level- congruence subgroup of .
Citation
Frank Calegari. "The stable homology of congruence subgroups." Geom. Topol. 19 (6) 3149 - 3191, 2015. https://doi.org/10.2140/gt.2015.19.3149
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