Imprimitive flag-transitive symmetric designs |
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| Authors: | Cheryl E. Praeger Shenglin Zhou |
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| Affiliation: | a School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia
b Department of Mathematics, Shantou University, Shantou, Guangdong 515063, PR China |
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| Abstract: | A recent paper of O'Reilly Regueiro obtained an explicit upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of these parameter sequences. |
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| Keywords: | Permutation group Flag-transitive Symmetric design |
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