OAI/GroupTheory/PolycyclicRecognition/Algebra/PolynomialInnerUnipotence.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Inner perturbations of unipotent nilpotent-group automorphisms

Inner conjugations act trivially on every lower-central quotient. Consequently multiplying a unipotent automorphism by an arbitrary inner automorphism is still unipotent, even when the two automorphisms do not commute.

  1. def OAI.PolycyclicRecognition.polynomialInnerLieEquiv line 21
  2. theorem OAI.PolycyclicRecognition.polynomialInnerLieEquiv_apply line 24
  3. theorem OAI.PolycyclicRecognition.polynomial_inner_sub_mem_succ line 28
  4. theorem OAI.PolycyclicRecognition.polynomial_inner_mul_unipotent line 50