Mathematical Sciences: A Study of Finite Semifield Planes

数学科学：有限半场平面的研究

• 批准号: 9107372
• 负责人: Minerva Cordero
• 金额: $ 5.76万
• 依托单位: Texas Tech University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9107372&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Study; Finite; Semifield

This award supports the research of Professor M. Cordero- Vourtsanis to work in combinatorics. She intends to study a class of finite affine planes coordinatized by nonassociative algebras. She intends to classify finite translation planes of rank 3 and odd dimension over their kernel, those with specialized orbits in the line at infinity, and a class that admits a p-primitive Baer collineation. This research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.

该奖项支持M教授的研究。科尔德罗- Vourtsanis工作在组合。 她打算学一门课 由非结合代数协调的有限仿射平面。 她打算分类有限平移平面秩3和奇数 在它们的内核上的维度，那些在 无穷远处的直线，以及允许p-本原Baer的类 直射 这项研究是在组合学的一般领域。 组合数学试图找到有效的方法来研究如何 可以组织对象的离散集合。 所以， 对现代通信非常重要，例如 大型网络的设计，如电话系统和 计算机科学中的算法