OAI/GroupTheory/PolycyclicRecognition/Algebra/CentralLayerPairing.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Bilinear commutators at an actual central-series step

If commutators with N are central, they factor through the abelianization of the ambient group and any central quotient of N. This applies at the last nonzero step of a lower central series.

  1. def OAI.PolycyclicRecognition.centralLayerCommutatorLeft line 18
  2. def OAI.PolycyclicRecognition.centralLayerCommutatorRight line 26
  3. def OAI.PolycyclicRecognition.centralLayerQuotientHom line 37
  4. def OAI.PolycyclicRecognition.centralLayerPairing line 47
  5. theorem OAI.PolycyclicRecognition.centralLayerPairing_value line 70