OAI/GroupTheory/PolycyclicRecognition/Geometry/RotationalTwistConjugation.lean

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Conjugation in the inverse-character graph

  1. theorem OAI.PolycyclicRecognition.rotationalTwistLift_conjugation_left line 20

    Source documentation

    The graph conjugation is the original conjugation followed by the inverse compact rotation.

    theorem rotationalTwistLift_conjugation_left (d : D) (n : N)
        (hn : τ (iN n) = 1) :
        ((rotationalTwistLift α τ hinv iD hD d *
          rotationalTwistLift α τ hinv iN hN n *
          (rotationalTwistLift α τ hinv iD hD d)⁻¹).val.left) =
          α ((τ (iD d))⁻¹) (iD d * iN n * (iD d)⁻¹) := by
    …

    Mentions: OAI.PolycyclicRecognition.rotationalTwistLift