Borel stability for congruence subgroups

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.

14 pages; to appear in the Bulletin of the London Math Society

References in corpus (3)

• Stabilization for mapping class groups of 3-manifolds
• The Torelli group and congruence subgroups of the mapping class group
• The second rational homology group of the moduli space of curves with level structures