OAI/GroupTheory/PolycyclicRecognition/Lattices/AbelianLatticeRealization.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Solvable lattice realization for virtually abelian groups

The finite-index torsion-free subgroup is an integral lattice. Its embedding into the actual additive vector Lie group has a compact fundamental cover. This discharges the virtually abelian case of Dekimpe's realization input.

  1. theorem OAI.PolycyclicRecognition.solvable_lattice_realization_of_finiteIndex_abelian line 18
  2. theorem OAI.PolycyclicRecognition.dekimpe_realization_of_finiteIndex_abelian line 37