Free (Z/p)n-complexes and p-DG modules

Jeremiah Heller, Marc Stephan

Research output: Contribution to journalArticle

Abstract

We reformulate the problem of bounding the total rank of the homology of perfect chain complexes over the group ring Fp[G] of an elementary abelian p-group G in terms of commutative algebra. This extends results of Carlsson for p=2 to all primes. As an intermediate step, we construct an embedding of the derived category of perfect chain complexes over Fp[G] into the derived category of p-DG modules over a polynomial ring.

Original languageEnglish (US)
Pages (from-to)221-254
Number of pages34
JournalJournal of Algebra
Volume565
DOIs
StatePublished - Jan 1 2021

Keywords

  • Free (Z/p)-action
  • p-DG module
  • Perfect complex
  • Toral rank

ASJC Scopus subject areas

  • Algebra and Number Theory

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