A classification of 2-designs with prime replication numbers and flag-transitive automorphism groups

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.3873

S. H. Alavi, Jalal Choulaki, A. Daneshkhah

引用次数: 1

Abstract

. In this article, we present a classiﬁcation of 2-designs with prime replication numbers admitting ﬂag-transitive automorphism groups. In conclusion, if G is a ﬂag-transitive automorphism group of a 2-design D with prime replication number, then G (cid:54) A Γ L 1 ( q ) , or D belongs to ﬁve inﬁnite families of 2-designs or it is (isomorphic to) one of eight sporadic examples.

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具有素数复制和标志传递自同构群的2-设计的分类

．在这篇文章中，我们给出了一个允许标志传递自同构群的具有素数复制数的2-设计的分类。综上所述，如果G是具有素数复制的2-设计D的标志传递自同构群，则G (cid:54) a Γ L 1 (q)，或者D属于5个无限的2-设计族，或者它是8个偶发例子中的一个(同构)。

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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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.