Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups |
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Authors: | Bagherian Javad |
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Affiliation: | Department of Mathematics, University of Isfahan, Isfahan 81746-73441, Iran |
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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. |
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Keywords: | Association scheme character finite group group-like scheme multiplicity nonlinear |
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