OAI/GroupTheory/PolycyclicRecognition/Algebra/CommutingSemisimpleFixedRepresentative.lean

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Simultaneous fixed representatives for commuting semisimple factors

Successive canonical projections preserve all previously fixed symmetries. Every inner automorphism centralizing a finite commuting semisimple family therefore has a representative fixed by the whole family.

  1. theorem OAI.PolycyclicRecognition.commuting_semisimple_inner_fixed_representative line 17