OAI/GroupTheory/PolycyclicRecognition/Algebra/CentralExtensionTransgression.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

The central extension transgression on actual second homology

Its value on the two-letter alternating cycle is exactly the commutator of the two section lifts. No bilinearity or splitting of the extension is assumed.

  1. theorem OAI.PolycyclicRecognition.centralExtension_conjAct_eq line 21
  2. def OAI.PolycyclicRecognition.centralExtensionTwoCocycle line 27
  3. theorem OAI.PolycyclicRecognition.centralExtensionTwoCocycle_identity line 31
  4. def OAI.PolycyclicRecognition.centralExtensionTransgression line 38
  5. theorem OAI.PolycyclicRecognition.centralExtensionTransgression_cycle line 43
  6. theorem OAI.PolycyclicRecognition.centralExtensionTransgression_alternating line 50
  7. theorem OAI.PolycyclicRecognition.centralExtensionTransgression_commutator line 61