OAI/GroupTheory/PolycyclicRecognition/Algebra/NormalInductionCoordinates.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Direct-sum coordinates for induction from a normal subgroup

The coordinates give a linear equivalence, used below with integral coefficients. The group action remains the induced action; no invariance of the chosen section is asserted.

  1. def OAI.PolycyclicRecognition.inductionTensorCoordinates line 23
  2. theorem OAI.PolycyclicRecognition.inductionTensorCoordinates_single line 30
  3. theorem OAI.PolycyclicRecognition.inductionTensorCoordinates_invariant line 35
  4. def OAI.PolycyclicRecognition.inductionCoordinates line 50
  5. theorem OAI.PolycyclicRecognition.inductionCoordinates_mk line 54
  6. def OAI.PolycyclicRecognition.inductionCoordinatesInv line 59
  7. theorem OAI.PolycyclicRecognition.inductionCoordinatesInv_single line 62
  8. theorem OAI.PolycyclicRecognition.inductionCoordinates_right_inv line 67
  9. theorem OAI.PolycyclicRecognition.inductionCoordinates_left_inv line 78
  10. def OAI.PolycyclicRecognition.normalInductionEquiv line 96