OAI/GroupTheory/PolycyclicRecognition/Algebra/RelativeCommutatorSeries.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Iterated action commutators and a centralizer criterion

  1. def OAI.PolycyclicRecognition.relativeCommutatorSeries line 12
  2. theorem OAI.PolycyclicRecognition.relativeCommutatorSeries_mono line 16
  3. theorem OAI.PolycyclicRecognition.relativeCommutatorSeries_antitone line 22
  4. theorem OAI.PolycyclicRecognition.relativeCommutatorSeries_add line 30
  5. instance OAI.PolycyclicRecognition.relativeCommutatorSeries_normal line 40
  6. theorem OAI.PolycyclicRecognition.nilpotent_of_relativeCommutatorSeries line 48