OAI/GroupTheory/PolycyclicRecognition/Finiteness/NormalExtensionHomologyFiniteness.lean
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Integral homology finiteness for a normal extension
The criterion is proved using the actual bar bicomplex, its two homology directions, and finite support elimination. No spectral-sequence convergence is postulated. The finiteness hypotheses on quotient homology are explicit.
- theorem
OAI.PolycyclicRecognition.normalExtension_homology_finite_of_secondPageline 20