Homological invariants of FI-modules and FIG-modules

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Abstract

We explore a theory of depth for finitely presented FIG-modules. 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.

Original languageEnglish
Pages (from-to)163-195
Number of pages33
JournalJournal of Algebra
Volume502
DOIs
StatePublished - 15 May 2018

Keywords

  • FI-modules
  • Representation stability

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