OAI/GroupTheory/PolycyclicRecognition/Algebra/SpectralUnitGroup.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The finitely generated group of nonzero spectral values

We include the conjugate eigenvalues so the resulting group has its actual conjugation involution, independently of a later choice of logarithm.

  1. def OAI.PolycyclicRecognition.spectralUnits line 17
  2. theorem OAI.PolycyclicRecognition.spectralUnits_finite line 20
  3. def OAI.PolycyclicRecognition.spectralUnitGroup line 23
  4. instance OAI.PolycyclicRecognition.spectralUnitGroup_fg line 26
  5. theorem OAI.PolycyclicRecognition.spectralUnitGroup_star line 32
  6. def OAI.PolycyclicRecognition.spectralUnitConjugation line 45
  7. theorem OAI.PolycyclicRecognition.spectralUnitConjugation_involutive line 51
  8. theorem OAI.PolycyclicRecognition.spectralUnitGroup_logarithm line 57