Imprimitive flag-transitive symmetric designs

Authors:
Cheryl E. Praeger;Shenglin Zhou
Affiliations:
School of Mathematics and Statistics, The University of Western Australia, Crawley, WA, Australia;Department of Mathematics, Shantou University, Shantou, Guangdong, PR China
Venue:
Journal of Combinatorial Theory Series A
Year:
2006

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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.