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

被引：0

作者：

Bagherian, Javad ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 8174673441, Iran

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 04期

关键词：

Association scheme; character; finite group; group-like scheme; multiplicity; nonlinear;

D O I：

10.1007/s10114-018-7072-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An irreducible character of an association scheme is called nonlinear if the multiplicity of 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.

引用

页码：481 / 493

页数：13

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