作为对称设计的旗转自形群的零星简单群

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Combinatorial Designs Pub Date : 2023-12-20 DOI:10.1002/jcd.21928

Seyed Hassan Alavi, Ashraf Daneshkhah

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引用次数: 0

摘要

在这篇文章中，我们研究了对称设计，这些对称设计接纳了以零星简单群为基底的旗变、点直观几乎简单的自变群。作为一个推论，我们提出了一种对称设计的分类，这种设计容许以零星简单群为坐标系的旗变自变群，总之，这样的设计正好有七个，其中一个容许点直观自变群，其余的都是点直观自变群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sporadic simple groups as flag-transitive automorphism groups of symmetric designs

In this article, we study symmetric designs admitting flag-transitive, point-imprimitive almost simple automorphism groups with socle sporadic simple groups. As a corollary, we present a classification of symmetric designs admitting flag-transitive automorphism group whose socle is a sporadic simple group, and in conclusion, there are exactly seven such designs, one of which admits a point-imprimitive automorphism group and the remaining are point-primitive.

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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.