Association schemes with at most two nonlinear irreducible characters and applications to finite groups

Autor:	Bagherian, Javad
Rok vydání:	2014
Předmět:	Mathematics - Combinatorics 05E30 20C15
Druh dokumentu:	Working Paper
Popis:	An irreducible character $\chi$ of an association scheme is called nonlinear if the multiplicity of $\chi$ 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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.8496 Zobrazit plný text záznamu View this record from Arxiv