Aspects of Non-positively Curved Groups

非正曲群的方面

• 批准号: 418456-2012
• 负责人: MartinezPedroza, Eduardo
• 金额: $ 1.24万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=531186
• 关键词: Aspects; Non; positively; Curved; Groups

Group theory is the area of mathematics that uses algebraic methods to abstract the idea of symmetry. A square has 8 distinct symmetries consisting of 4 rotations and 4 reflections. In contrast, there are objects with infinitely many symmetries as the tiling of the Euclidean plane by squares. The study of groups of symmetries have had applications to diverse areas of science like cosmology, cryptography, or robotics.

群论是一个数学领域，它使用代数方法来抽象对称性的概念。一个正方形有8个不同的对称性，包括4个旋转和4个反射。与此相反，有些物体具有无限多的对称性，就像用正方形平铺欧几里得平面一样。对对称性群的研究已经应用于宇宙学、密码学或机器人学等不同的科学领域。