OAI/GroupTheory/PolycyclicRecognition/Algebra/RationalRecognitionEndgame.lean
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Recognition from virtual solvability and the proved rational bounds
A finite normal subgroup is removed before duality transfer. Polycyclicity then lifts across that finite kernel. No virtual integral dimension of the original group is assumed in this argument.
- theorem
OAI.PolycyclicRecognition.virtuallyPolycyclic_of_coarse_rational_boundsline 20