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Homological Invariants of FI-modules and FI_G-modules

Published 12 Nov 2015 in math.RT, math.AT, and math.CO | (1511.03964v3)

Abstract: We explore a theory of depth for FI_G-modules which are presented in finite degrees. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.

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