OAI/GroupTheory/PolycyclicRecognition/Algebra/PolynomialGrowthSubgroups.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Polynomial growth on finitely generated subgroups

The degree is retained: choose one ambient word ball containing the finite subgroup generators, and count their images in the corresponding scaled ball.

  1. theorem OAI.PolycyclicRecognition.polynomial_growth_subgroup_word_bound line 16
  2. theorem OAI.PolycyclicRecognition.polynomial_growth_fg_subgroup line 36
  3. theorem OAI.PolycyclicRecognition.polynomial_growth_fg_injective line 52