Mathematical Sciences\RUI: Problems in Algebra: Group Actions on Trees and Buildings

数学科学RUI：代数问题：树木和建筑物的群作用

• 批准号: 9623282
• 负责人: Roger Alperin
• 金额: $ 3.61万
• 依托单位: San Jose State University Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-06-01 至 1998-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9623282&HistoricalAwards=false
• 关键词: Mathematical; Sciences; RUI; Problems; Algebra

9623282 Alperin This grant supports the research of Professor R. Alperin to work on problems in the representation of finite groups on various geometric objects. In particular he wants to work on groups acting on trees, buildings and their generalizations. He hopes to use various fixed point properties as an aid in classifying certain groups with various homological or geometrical realizations. This is research in the field of group theory. Group theory can be thought of as the study of symmetry in the abstract. As such, this area has direct applications to many areas of physics and chemistry. Moreover, within the last 30 years, many connections to problems in data transmission have been solved using techniques from group theory. There are also direct connections to the error correcting codes that are vital for modern computing such as working with CD-ROM's.

小行星9623282 该基金支持R教授的研究。阿尔佩林工作的问题，在代表性的有限群体的各种几何对象。特别是他想工作的群体对树木，建筑物和他们的概括。他希望使用各种不动点性质作为辅助分类某些群体与各种同调或几何实现。 这是群论领域的研究。群论可以被认为是对抽象对称性的研究。因此，这一领域直接应用于物理和化学的许多领域。此外，在过去的30年里，许多与数据传输问题有关的问题已经用群论的技术解决了。也有直接连接到纠错码是至关重要的现代计算，如与光盘的工作。