OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanUniformGeneration.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Uniform generator words for the actual Cartan boxes
This specializes the compact-law argument to the constructed nilpotent factor and its homogeneous generators. The same length and amplitude bounds work for every box shape, nonnegative scale, and maximizing word basis.
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_cartan_rescaled_generator_wordsline 33Source documentation
Uniform product generation for the Cartan factor by exponentially rescaled generator factors.
theorem exists_uniform_cartan_rescaled_generator_words (hExpG : IsGroupExponential ExpG) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput