OAI/GroupTheory/PolycyclicRecognition/Finiteness/VirtualPolycyclicDuality.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

A proved duality comparison for virtually polycyclic groups

The polycyclic comparison group's duality follows from a finite-index poly-Z series and the cyclic-extension resolution. The recognition consequence is conditional on the four finiteness and transfer inputs.

  1. theorem OAI.PolycyclicRecognition.exists_coarse_poincareDuality_comparison_proved line 14
  2. theorem OAI.PolycyclicRecognition.virtuallyPolycyclic_of_elementaryAmenable_coarse_virtualPolycyclic_proved line 29