OAI/GroupTheory/PolycyclicRecognition/Algebra/IrreducibleGenericConjugator.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

A conjugator in simultaneous transverse position

Irreducibility makes every nonzero orbit span. In the polynomial topology, a single element can therefore place a finite family of lines outside all specified repelling hyperplanes and attracting lines, in both directions.

  1. theorem OAI.PolycyclicRecognition.PolynomialMatrixGroup.exists_irreducible_forward_inverse_avoidance line 20
  2. theorem OAI.PolycyclicRecognition.PolynomialMatrixGroup.exists_irreducible_transverse_conjugator line 34