Association schemes generated by a non-symmetric relation of valency 2
Association schemes generated by a non-symmetric relation of valency 2
复制标题
由价 2 的非对称关系生成的关联方案
DOI：
10.1016/s0012-365x(01)00063-2
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
M. Muzychuk
中科院分区：
文献类型：
--
作者：
M. Hirasaka;M. Muzychuk
本文从Bose-Mesner代数的表示理论和基本结构理论出发，给出了2度关系的结合方案的一些观察结果。这些观察的应用之一是分类的非对称关系价2的结合计划，如果点集的基数是一个产品的两个素数，另一个是证明李的猜想，任何有限的单群是一个连接的2-DCI-群。
We give some observations on association schemes with a relation of valency 2 from the representation theory of Bose–Mesner algebras and the basic structure theory. One of the applications of these observations is the classification of the association schemes with a non-symmetric relation of valency 2 if the cardinality of the point set is a product of two primes, and another is the proof of Li's conjecture that any finite simple group is a connected 2-DCI-group.