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.

这项研究涉及有限简单组的校正，澄清和简化分类。 组是具有单个操作的代数结构。 它出现在许多数学领域，物理和化学领域。 有限群体的基本构件是有限的简单组。 过去十年来数学的主要结果之一是有限简单组的分类，其证明将需要10,000至15,000个期刊页面。 支持的研究是与罗格斯大学的戈伦斯坦和里昂的共同努力，在大约3000页的空间中生产了对分类证明的独立，简化和连贯的处理。