The reduction of block-transitive 3-(v,k,2) designs

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-03-27 DOI:10.1016/j.amc.2025.129435

Luozhong Gong , Weijun Liu , Shaojun Dai

引用次数: 0

Abstract

Using the O'Nan-Scott Theorem for classifying the primitive permutation group, the classification problem of 3-design is discussed. And the block-transitive and point-primitive automorphism groups of a 3-

(v, k, 2)

designs is reduced to affine type and almost simple type.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.