OAI/GroupTheory/PolycyclicRecognition/Finiteness/CompletedCohomologyFinitary.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Sequential zero-finitarity of degree-zero complete cohomology

Every element has a representative in one ordinary cohomology degree. The normalized syzygy functors preserve vanishing coefficient systems, and FP in that degree kills the representative at a later coefficient stage.

  1. theorem OAI.PolycyclicRecognition.TypeFPInfinity.completedCohomology_eventually_zero line 17