Linear stable range for homology of congruence subgroups via FI-modules

Abstract

We answer positively a question of Church, Miller, Nagpal and Reinhold on existence of a linear bound on the presentation degree of the homology of a complex of FI-modules. This implies a linear stable range for the homology of congruence subgroups of general linear groups.

Minor revisions. To appear in Selecta Math

References in corpus (2)

• Bounding the homology of FI-modules
• On stable homology of congruence groups

Cited by in corpus (2)

• A generating function approach to new representation stability phenomena in orbit configuration spaces
• FI-hyperhomology and ordered configuration spaces