OAI/GroupTheory/PolycyclicRecognition/Algebra/ConjugationDualSpectrum.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Detecting eigenvalues by characters on a spanning normal subgroup

A dual eigenvector is nonzero on a spanning family. Restricting it to the normal subgroup gives the concrete character used by the word-count theorem.

  1. theorem OAI.PolycyclicRecognition.exists_conjugation_eigencharacter line 17
  2. theorem OAI.PolycyclicRecognition.polynomial_growth_dual_eigenvalue_norm line 46
  3. theorem OAI.PolycyclicRecognition.polynomial_growth_integral_dual_eigenvalue_torsion line 58