OAI/GroupTheory/PolycyclicRecognition/Algebra/RationalTorsionLinearGroups.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Torsion linear groups over the rationals are finite

Bounded degree gives a single finite set containing every eigenvalue. Separability converts their common period into an exponent for the group. The existing finite-exponent theorem does not require irreducibility.

  1. theorem OAI.PolycyclicRecognition.PolynomialMatrixGroup.finite_of_faithful_torsion_finite_eigenvalues line 16
  2. theorem OAI.PolycyclicRecognition.PolynomialMatrixGroup.finite_of_faithful_rational_torsion line 41