OAI/GroupTheory/PolycyclicRecognition/Algebra/CyclicKernelPolynomialGrowth.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The cyclic-kernel reduction with its actual generating set

The kernel is finitely generated and admits a symmetric generating set whose word-ball growth exponent is one smaller than the given ambient exponent.

  1. theorem OAI.PolycyclicRecognition.cyclic_kernel_polynomial_growth_drop line 16
  2. theorem OAI.PolycyclicRecognition.infinite_wordBall_card_lower line 38
  3. theorem OAI.PolycyclicRecognition.finite_of_bounded_wordBall_card line 53