A note on block-transitive 2 − (v,k,1) designs

Shangzhao Li, Xiran Zhang, Jing Chen and Shaojun Dai

Applied Mathematics and Computation, 2025, vol. 495, issue C

Abstract: Let G act block-transitively on a 2−(v,12,1) design. If G is solvable, then (1) if 3|v, then v=3n, G≤AΓL(1,3n), where pn≡1(mod44); (2) if 3∤v, then v=pn, G≤AΓL(1,pn), where p≠2 and pn≡1(mod132).

Keywords: Block-transitive; Automorphism group; Solvable group (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000414

DOI: 10.1016/j.amc.2025.129314

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