OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanUniformGeneration.lean

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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.

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_cartan_rescaled_generator_words line 33

    Source 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