OAI/GroupTheory/PolycyclicRecognition/Finiteness/CoefficientNormalHomology.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Normal-extension comparison with arbitrary coefficients

Both bar directions retain the coefficient representation. A rationally acyclic kernel then permits passage to its coinvariants in every degree.

  1. def OAI.PolycyclicRecognition.coefficientNormalQuotientComplex line 17
  2. def OAI.PolycyclicRecognition.coefficientNormalResolutionHomologyIso line 22
  3. def OAI.PolycyclicRecognition.coefficientNormalTotalHomologyIso line 36
  4. def OAI.PolycyclicRecognition.coefficientNormalZeroHomologyIso line 46
  5. def OAI.PolycyclicRecognition.coefficientNormalColumnOpcyclesIso line 52
  6. theorem OAI.PolycyclicRecognition.coefficientNormalColumn_rational_isZero line 62
  7. def OAI.PolycyclicRecognition.rationalAcyclicKernelCoefficientHomologyIso line 77