Mathematical Sciences: Group Theory and Combinatorics

数学科学：群论和组合学

• 批准号: 9106753
• 负责人: John Conway
• 金额: $ 33.01万
• 依托单位: Princeton 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=9106753&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Group; Theory; Combinatorics

This project supports work on finite and infinite groups and their geometrical and combinatorial aspects. The principal investigator will also examine lattices in Euclidean and hyperbolic spaces, knots, games and related topics. This research is concerned with problems in combinatorics and group theory. In particular, the principal investigator will concentrate on a particularly remarkable group which is called the Monster. The outcome of this investigation is likely to impact other areas of mathematics and physics.

该项目支持有限和无限群及其几何和组合方面的工作。 首席研究员还将研究欧几里得和双曲空间中的格子、结、游戏和相关主题。 这项研究涉及组合数学和群论中的问题。 特别是，首席调查员将专注于一个特别引人注目的群体，即“怪物”。 这项研究的结果可能会影响数学和物理学的其他领域。