OAI/GroupTheory/PolycyclicRecognition/Algebra/PolyZ.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Cyclic series with torsion-free factors

Trivial factors are allowed. Removing them gives the usual poly-Z series. The predicate records an actual series and is stable under subgroups.

  1. def OAI.PolycyclicRecognition.TorsionFreeCyclicFactors line 19
  2. def OAI.PolycyclicRecognition.IsPolyZ line 23
  3. theorem OAI.PolycyclicRecognition.IsPolyZ.isPolycyclic line 26
  4. theorem OAI.PolycyclicRecognition.TorsionFreeCyclicFactors.comap line 30
  5. theorem OAI.PolycyclicRecognition.IsPolyZ.of_injective line 40
  6. theorem OAI.PolycyclicRecognition.IsPolyZ.of_equiv line 51
  7. theorem OAI.PolycyclicRecognition.isPolyZ_of_subsingleton line 54