Borel stability for congruence subgroups
classification
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math.KT
keywords
congruencetheoremborelgroupsstabilitysubgroupsubgroupscertain
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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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