OAI/GroupTheory/PolycyclicRecognition/Geometry/HeightKernelTorsionBound.lean

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Bounded finite subgroup orders for the height-kernel extension

The coefficient-ring dimension theorem and the actual invariant mean give finite integral projective dimension of the rational coefficient. FP-infinity then detects a nonzero factorial annihilator of the complete integral identity.

  1. theorem OAI.PolycyclicRecognition.TypeFPInfinity.heightKernel_rationalCoefficient_finite_dimension line 19
  2. theorem OAI.PolycyclicRecognition.TypeFPInfinity.heightKernel_boundedFiniteSubgroupOrders line 27