OAI/GroupTheory/PolycyclicRecognition/Algebra/PolynomialSubalgebraNilpotence.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Group nilpotence of the concrete BCH subgroups

The intrinsic Lie lower central series is a sequence of actual subgroups. The finite-difference formula puts every group commutator one step deeper.

  1. def OAI.PolycyclicRecognition.polynomialLieIdealSubgroup line 20
  2. instance OAI.PolycyclicRecognition.polynomialLieIdealSubgroup_normal line 47
  3. theorem OAI.PolycyclicRecognition.polynomialSubalgebra_commutator_mem line 51
  4. theorem OAI.PolycyclicRecognition.group_lowerCentral_le_lie line 63
  5. theorem OAI.PolycyclicRecognition.polynomialSubalgebra_group_nilpotent line 78