OAI/GroupTheory/PolycyclicRecognition/Algebra/FiniteIndexRestriction.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Finite integral resolutions restrict to finite-index subgroups

A finite set of coset representatives enlarges a generating set over the ambient group ring to one over the subgroup ring.

  1. theorem OAI.PolycyclicRecognition.integralRepresentationFinite_restrict line 22
  2. theorem OAI.PolycyclicRecognition.TypeFP.finiteIndex_subgroup line 88
  3. theorem OAI.PolycyclicRecognition.TypeFPInfinity.finiteIndex_subgroup line 93
  4. theorem OAI.PolycyclicRecognition.HasFiniteProjectiveResolution.finiteIndex_subgroup line 96