OAI/GroupTheory/PolycyclicRecognition/Algebra/AscendingBaseLifting.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Lifting a stable finite generating base through a characteristic subgroup

Finite many lift errors fit in one inverse-image stage of the kernel base. Adjoining that stage makes the lifted base stable. Exhaustion of the quotient and kernel then gives exhaustion of the whole group.

  1. theorem OAI.PolycyclicRecognition.automorphism_exhaustive_of_kernel_quotient line 17
  2. theorem OAI.PolycyclicRecognition.exists_fg_stable_lift line 48
  3. theorem OAI.PolycyclicRecognition.exists_fg_ascending_base_of_kernel_quotient line 118