OAI/GroupTheory/PolycyclicRecognition/Geometry/RotationalTwistConjugation.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Conjugation in the inverse-character graph
- theorem
OAI.PolycyclicRecognition.rotationalTwistLift_conjugation_leftline 20Source 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 …