OAI/GroupTheory/PolycyclicRecognition/Algebra/RationalFiniteCoinvariants.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Exact rational coinvariants for a finite group

The averaging map descends to coinvariants and is a section of their quotient map. Its naturality proves preservation of injections directly.

  1. def OAI.PolycyclicRecognition.finiteRationalAverage line 19
  2. theorem OAI.PolycyclicRecognition.finiteRationalAverage_apply line 22
  3. theorem OAI.PolycyclicRecognition.finiteRationalAverage_action line 26
  4. def OAI.PolycyclicRecognition.finiteRationalCoinvariantsSection line 33
  5. theorem OAI.PolycyclicRecognition.finiteRationalAverage_mk line 38
  6. theorem OAI.PolycyclicRecognition.finiteRationalAverage_natural line 46
  7. theorem OAI.PolycyclicRecognition.finiteRationalCoinvariants_map_injective line 55