OAI/GroupTheory/PolycyclicRecognition/Algebra/CyclicQuotientSequence.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The coefficient sequence for an infinite cyclic quotient

Inflating the cyclic augmentation sequence gives the two copies of the quotient permutation module used in the cyclic-extension argument.

  1. def OAI.PolycyclicRecognition.cyclicAugmentationSequence line 21
  2. theorem OAI.PolycyclicRecognition.cyclicAugmentationSequence_exact line 25
  3. theorem OAI.PolycyclicRecognition.cyclicAugmentationSequence_shortExact line 33
  4. def OAI.PolycyclicRecognition.cyclicQuotientSequence line 47
  5. theorem OAI.PolycyclicRecognition.cyclicQuotientSequence_shortExact line 50
  6. theorem OAI.PolycyclicRecognition.cohomologicalDimension_bound_of_cyclicQuotientModule line 54