具有零星或交替楔形体的积木式三重体系

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Combinatorial Designs Pub Date : 2024-05-20 DOI:10.1002/jcd.21945

Suyun Ding, Yilin Zhang, Xiaoqin Zhan, Guangzu Chen

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引用次数: 0

摘要

我们证明，如果是零星群或交替群，那么下列条件之一成立：是和；是和；是和；是和或；是和。

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Block-transitive triple systems with sporadic or alternating socle

This paper is a contribution to the classification of all pairs $(T, G)$ , where $T$ is a triple system and $G$ is a block-transitive but not flag-transitive automorphism group of $T$ . We prove that if the socle of $G$ is a sporadic or alternating group, then one of the following holds:

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来源期刊

Journal of Combinatorial Designs 数学-数学

CiteScore

1.60

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Combinatorial Designs is an international journal devoted to the timely publication of the most influential papers in the area of combinatorial design theory. All topics in design theory, and in which design theory has important applications, are covered, including: block designs, t-designs, pairwise balanced designs and group divisible designs Latin squares, quasigroups, and related algebras computational methods in design theory construction methods applications in computer science, experimental design theory, and coding theory graph decompositions, factorizations, and design-theoretic techniques in graph theory and extremal combinatorics finite geometry and its relation with design theory. algebraic aspects of design theory. Researchers and scientists can depend on the Journal of Combinatorial Designs for the most recent developments in this rapidly growing field, and to provide a forum for both theoretical research and applications. All papers appearing in the Journal of Combinatorial Designs are carefully peer refereed.