Group actions on finite complexes

有限复形上的群作用

• 批准号: 327906-2008
• 负责人: Smith, Jeffrey
• 金额: $ 1.09万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=397980
• 关键词: Group; actions; finite; complexes

The study of symmetry is important aspect of all sciences including mathematics. The symmetries of the sphere are of particular interest. For example the spherical space form problem asks for a classification of all possible free actions of a finite group on a sphere. The goal of this research is to understand all symmetry groups of a sphere not just the free symmetry groups. We would also like to extend these ideas to spaces other than spheres.

对称性的研究是包括数学在内的所有科学的重要方面。球体的对称性特别令人感兴趣。例如，球面空间形式问题要求对有限群在球面上的所有可能的自由作用进行分类。这项研究的目的是了解球体的所有对称群，而不仅仅是自由对称群。我们还希望将这些想法扩展到球体以外的空间。