1 research outputs found
Block-transitive and point-primitive - designs with sporadic socle
The purpose of this paper is to classify all pairs , where
is a non-trivial - design, and acts transitively on the set of blocks of and
primitively on the set of points of with sporadic socle. We prove
that there exists only one such pair in which
is a - design and , the Higman-Sims simple group.Comment: 11 pages, 1 figur