OAI/GroupTheory/PolycyclicRecognition/Finiteness/FiniteAugmentationKernel.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The augmentation kernel for a finitely generated group

Differences corresponding to a finite group generating set generate the integral augmentation kernel as a left group-ring module.

  1. def OAI.PolycyclicRecognition.augmentationDifference line 18
  2. theorem OAI.PolycyclicRecognition.augmentationDifference_mul line 22
  3. theorem OAI.PolycyclicRecognition.augmentationDifference_inv line 31
  4. theorem OAI.PolycyclicRecognition.augmentationDifference_mem_span line 39
  5. theorem OAI.PolycyclicRecognition.integralAugmentationKernel_fg line 53