Homological Invariants of FI-modules and FI_G-modules
classification
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keywords
fi-modulesg-modulesresultsstabletheoryboundschurchdegrees
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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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