OAI/GroupTheory/PolycyclicRecognition/Analysis/NormalInductionSupport.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Supports of rank-one vectors in an induced representation

For induction from a normal subgroup, the quotient acts transitively on the coordinate positions. A rank-one subrepresentation must therefore have either empty support or every quotient coordinate in its support.

  1. theorem OAI.PolycyclicRecognition.inductionCoordinates_action_apply line 24
  2. theorem OAI.PolycyclicRecognition.rankOne_induced_hom_eq_zero line 66