Mathematical Sciences: The Classification of Finite Simple Groups

数学科学：有限简单群的分类

• 批准号: 8701756
• 负责人: Ronald Solomon
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-01 至 1989-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701756&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Classification; Finite; Simple

This research is concerned with the correction, clarification and simplification of the classification of finite simple groups. A group is an algebraic structure with a single operation. It appears in many areas of mathematics, as well as physics and chemistry. The fundamental building blocks of finite groups are finite simple groups. One of the major results in mathematics of the past decade is the classification of finite simple groups, the proof of which would require 10,000 to 15,000 journal pages. The research supported is a joint effort with Gorenstein and Lyons of Rutgers University to produce a self-contained, simplified and coherent treatment of the classification proof in a space of approximately 3000 pages.

本研究关注的是校正， 有限差分分类的澄清和简化 简单的群体。 一个群是一个具有单一运算的代数结构。 它出现在数学的许多领域，以及物理和 化学. 有限群的基本构造块是 有限单群 数学中的一个重要成果是 过去的十年是有限单群的分类， 要证明这一点需要一万到一万五千页的日志 支持的研究是与Gorenstein的共同努力， 罗格斯大学的里昂设计了一个独立的， 分类证明的简化和连贯处理 大约3000页的篇幅。