Galois Theory and Finite Projective Planes

伽罗瓦理论和有限射影平面

• 批准号: 9704800
• 负责人: John Thompson
• 金额: --
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-06-15 至 1999-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704800&HistoricalAwards=false
• 关键词: Galois; Theory; Finite; Projective; Planes

THOMPSON, ABSTRACT 9704800 The proposer plans to continue the study of finite projective planes, especially the Galois-theoretic aspects of incidence matrices. Additionally, the proposer will continue the study of realizing simple groups as Galois groups , especially of covers of the complex projective plane with 4 branch points. Finally, the proposer will continue his interest in the Lyons-Solomon work on providing a detailed, coherent proof of the classification of finite simple groups. The theory of groups is a central area of research in mathematics because its methods apply generally to the study of many mathematical objects through the properties of symmetry and geometric transformation.

汤普森，摘要9704800 提议者计划继续研究有限射影平面，特别是关联矩阵的伽罗瓦理论方面。此外，本文还将继续研究单群的伽罗瓦群的实现，特别是复射影平面上有4个分支点的复盖。最后，提议者将继续他的兴趣在里昂，所罗门工作提供一个详细的，连贯的证明分类有限简单的群体。 群论是数学研究的一个中心领域，因为它的方法通过对称性和几何变换的性质普遍适用于许多数学对象的研究。