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Abstract Let G be a transitive permutation group on a finite set Ω. If G is multiplicity-free, then End G ( C [ Ω ] ) is commutative, and Krein… Click to show full abstract
Abstract Let G be a transitive permutation group on a finite set Ω. If G is multiplicity-free, then End G ( C [ Ω ] ) is commutative, and Krein parameters q i , j k can be defined. Scott proved that if q i , j k ≠ 0 , then the corresponding irreducible characters χ i , χ j , χ k of G satisfy ( χ i χ j , χ k ) ≠ 0 . In this paper, we prove the converse of this implication for transitive permutation groups of semidirect product type whose regular normal subgroup is abelian.
Keywords:
finite permutation;
characters finite;
permutation groups;
permutation;
krein parameters;
groups krein
Journal Title: Journal of Algebra
Year Published: 2018
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Journal Title: Journal of Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!