OAI/GroupTheory/PolycyclicRecognition/Analysis/NormalInductionSupport.lean
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.
- theorem
OAI.PolycyclicRecognition.inductionCoordinates_action_applyline 24 - theorem
OAI.PolycyclicRecognition.rankOne_induced_hom_eq_zeroline 66