Mathematical Sciences: A Parabolic Classification of the Quasi-thin Finite Simple Groups

数学科学：拟薄有限单群的抛物线分类

• 批准号: 8903608
• 负责人: Alberto Delgado
• 金额: $ 3万
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-15 至 1991-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8903608&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Parabolic; Classification; Quasi

This project is concerned with classifying the quasi-thin finite simple groups by means of the amalgam method. The principal investigator will analyze the weak (B,N)-pairs of rank three corresponding to a reducible rank 2 parabolic. In addition, he will determine the "small" amalgams. The classification of finite simple groups has been a major concern for the past several decades with implications for many areas of algebra. This research is concerned with streamlining and revising portions of this classification, resulting in a clearer understanding of the area. Simultaneously, it will provide new insights into the geometry of these groups.

本项目涉及的是对准薄 用汞齐法构造有限单群。的 首席研究员将分析弱（B，N）-对， 秩3对应于可约秩2抛物线。在 此外，他将确定“小”汞合金。 有限单群的分类一直是一个 过去几十年来的主要关切， 代数的许多领域。这项研究关注的是 精简和修订这一分类的部分内容， 从而更清楚地了解该地区。 同时，它将提供新的见解， 这些群体。