2−(v,k,1) designs admitting automorphism groups with socle Sz(q)

Shangzhao Li, Weijun Liu and Xianhua Li

Applied Mathematics and Computation, 2019, vol. 351, issue C, 153-161

Abstract: The classification of all block-transitive 2−(v,k,1) designs has been known as a long-standing and still open problem. This work is a contribution to the general program to classify the pairs (D,G) in which D is a 2−(v,k,1) design and G act as a point-primitive block-transitive automorphism group of D with a Suzuki group Sz(q) socle. We determine the point-stabilizer Gα ∩ Sz(q) and the block-stabilizer GB ∩ Sz(q), and the parameter of D is given.

Keywords: Block-transitive; 2−(v,k,1) design; Automorphism; Socle (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:351:y:2019:i:c:p:153-161

DOI: 10.1016/j.amc.2019.01.036

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