Block transitive 2−(v,k,1) designs and PGL2(q) groups

Jianxiong Tang, Chaohui Yang, Shangzhao Li, Shaojun Dai and Weijun Liu

Applied Mathematics and Computation, 2020, vol. 374, issue C

Abstract: The article mainly deal with the block-transitive automorphism groups of 2−(v,k,1) designs. Let G=PGL2(q) for q a power of an odd prime number. We prove that if G acts block-transitively on a non-trivial 2−(v,k,1) design D then D is either a projective plane or 2−(136,10,1) design.

Keywords: Block-transitive; 2-design; PGL2(q) group (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300035

DOI: 10.1016/j.amc.2020.125034

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