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

Published 4 Dec 2017 in math.RT, math.AT, math.KT, and math.NT | (1712.00890v2)

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.

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