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An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of… Click to show full abstract
An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at most two nonlinear irreducible characters. This yields a characterization of finite groups with at most two nonlinear irreducible characters. A class of noncommutative association schemes with at most two nonlinear irreducible character is also given.
Keywords:
two nonlinear;
association schemes;
nonlinear irreducible;
schemes two;
irreducible characters
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2018
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Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!