OAI/GroupTheory/PolycyclicRecognition/Finiteness/FinitePresentationSyzygies.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Finite presentation of integral resolution syzygies

Two consecutive finite projective terms give a finitely presented quotient syzygy. This supplies the finite-presentation input for passing Hom through directed colimits in the FP-infinity argument.

  1. theorem OAI.PolycyclicRecognition.projectiveRepresentation_module line 20
  2. theorem OAI.PolycyclicRecognition.projectiveRepresentation_finitePresentation line 27
  3. theorem OAI.PolycyclicRecognition.resolutionOpcycles_finitePresentation line 33
  4. theorem OAI.PolycyclicRecognition.TypeFPInfinity.exists_finitelyPresented_syzygy line 56