具有素数复制和标志传递自同构群的2-设计的分类

IF 0.9 4区 数学 Q1 Mathematics
S. H. Alavi, Jalal Choulaki, A. Daneshkhah
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引用次数: 1

摘要

. 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。
A classification of 2-designs with prime replication numbers and flag-transitive automorphism groups
. 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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来源期刊
Miskolc Mathematical Notes
Miskolc Mathematical Notes Mathematics-Algebra and Number Theory
CiteScore
2.00
自引率
0.00%
发文量
9
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.
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