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Two homological proofs of the Noetherianity of $FI_G$

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arxiv 1603.04552 v4 pith:VHZKITAU submitted 2016-03-15 math.RT math.KTmath.RA

classification math.RTmath.KTmath.RA
keywords homologicalnoetherianityproofscategorychurchdiscoveredellenbergfarb
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abstract

We give two homological proofs of the Noetherianity of the category $FI$, a fundamental result discovered by Church, Ellenberg, Farb, and Nagpal.

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