OAI/GroupTheory/PolycyclicRecognition/CoarseFiniteGeneration.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Finite generation is preserved by discrete-group coarse equivalence.
- theorem
OAI.PolycyclicRecognition.GroupCoarseEquivalence.finitelyGeneratedline 14Source documentation
Coarse connectedness, expressed by finite generation, transfers through the finite-difference control and finite error sets of a coarse equivalence.
theorem GroupCoarseEquivalence.finitelyGenerated (e : GroupCoarseEquivalence G H) [Group.FG G] : Group.FG H := by …