OAI/GroupTheory/PolycyclicRecognition/Geometry/ExponentialBasisGeneration.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Generation by exponential basis directions

The product of the basis one-parameter subgroups has invertible derivative at the identity. A subgroup containing those curves is open, hence is the whole connected group. No global exponential-chart assumption is used.

  1. theorem OAI.PolycyclicRecognition.exponentialProduct_mem_subgroup line 25
  2. theorem OAI.PolycyclicRecognition.subgroup_eq_top_of_exponential_basis line 36