Projective symplectic groups of genus one and two
IF 1.2
3区 数学
Q1 MATHEMATICS
引用次数: 0
Abstract
In this article, we provide a comprehensive classification of all primitive genus one and genus two systems of the finite group G with , where q is a prime power. Also, we use computational tools to show that G possesses no genus g group if where , and 2.
一属和二属的射影辛群
本文给出了有限群G中PSp(4,q)≤G≤Aut（PSp(4,q)）的所有原始一格和二格系统的一个综合分类，其中q是素幂。此外，我们使用计算工具证明，如果G =1和2，则G不具有G属群。
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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来源期刊
CiteScore
2.00
自引率
20.00%
发文量
133
审稿时长
6-12 weeks
期刊介绍：
Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering.
For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods.
The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.
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