TY - JOUR

T1 - Association schemes generated by a non-symmetric relation of valency 2

AU - Hirasaka, M.

AU - Muzychuk, M.

N1 - Funding Information:
∗Corresponding author. E-mail address: muzy@netanya.ac.il (M. Muzychuk). 1Supported by the Japan Society for Promotion of Science and worked at the Emmy Noether Research Institute for Mathematical Science at Bar-Ilan University. The author wishes to express his gratitude to both institutions for their support. 2Partially supported by the Israeli Ministry of Absorption.

PY - 2002/2/6

Y1 - 2002/2/6

N2 - 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.

AB - 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.

KW - 2-dci-group

KW - Association schemes

UR - http://www.scopus.com/inward/record.url?scp=31244433144&partnerID=8YFLogxK

U2 - 10.1016/S0012-365X(01)00063-2

DO - 10.1016/S0012-365X(01)00063-2

M3 - Conference article

AN - SCOPUS:31244433144

SN - 0012-365X

VL - 244

SP - 109

EP - 135

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

T2 - Algebraic and Topological Methods in Graph Theory (ATMGT)

Y2 - 28 June 1999 through 2 July 1999

ER -