Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups  

作　　者：Javad BAGHERIAN 

机构地区：[1]Department of Mathematics, University of Isfahan

出　　处：《Acta Mathematica Sinica,English Series》2019年第4期481-493,共13页数学学报（英文版）

摘　　要：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.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.

关 键 词：Association SCHEME character finite group group-like SCHEME MULTIPLICITY NONLINEAR 

分 类 号：O1[理学—数学]