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Borel stability for congruence subgroups

Published 28 Jul 2012 in math.AT and math.KT | (1207.6725v3)

Abstract: We prove a homological stability theorem for congruence subgroups of symplectic groups. From this theorem, we deduce a generalization of a theorem of Borel showing that certain homology groups of a congruence subgroup do not depend on the level of the congruence subgroup.

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