Affiliation:
1. School of Mathematical Science South China Normal University Guangzhou Guangdong P. R. China
2. Department of Mathematics Southern University of Science and Technology Shenzhen P. R. China
3. School of Mathematics South China University of Technology Guangzhou Guangdong P. R. China
Abstract
AbstractLet be a nontrivial symmetric ‐design with , and let be a flag‐transitive automorphism group of . In this paper, we show that if is quasiprimitive on , then is of holomorph affine or almost simple type. Moreover, if is imprimitive on , then is of almost simple type. According to this observation and to the classification of the finite simple groups we determine all such symmetric designs and the corresponding automorphism groups. We conclude with two open problems and a conjecture.
Subject
Discrete Mathematics and Combinatorics
Cited by
1 articles.
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