Generalized wreath products of table algebras determined by their character tables and applications to association schemes

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成果类型：

期刊论文

作者：

Chen, Gang;Xu, Bangteng*

通讯作者：

Xu, Bangteng

作者机构：

[Chen, Gang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

[Xu, Bangteng] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA.

通讯机构：

[Xu, Bangteng] E

Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA.

语种：

英文

关键词：

Character tables;Closed subsets;Generalized wreath products;Table algebras;Association schemes

期刊：

Discrete Mathematics

ISSN：

0012-365X

年：

2019

卷：

342

期：

页码：

29-37

DOI：

10.1016/j.disc.2018.09.009

基金类别：

Part of this paper was done during the visit of the second author at Central China Normal University fromDecember 2017 to January 2018. He appreciates the hospitality of the first author and CCNU. The work of the first author is supported by National Science Foundation of China (No. 11571129).

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

Structures of table algebras whose character tables have a zero submatrix were studied in Blau and Xu (2014) and Chen and Xu (2018). In this paper we continue the research in this direction, and investigate the conditions under which the character table with a zero submatrix yields a generalized wreath product of table algebras. Applications to association...

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Generalized wreath products of table algebras determined by their character tables and applications to association schemes

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