Generalized solvable group and ordered groups

广义可解群和有序群

• 批准号: 5299-2006
• 负责人: Rhemtulla, Akbar
• 金额: $ 0.73万
• 依托单位: University of Alberta
• 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=389119
• 关键词: Generalized; solvable; group; ordered; groups

My research is in algebra, more specifically, group theory. It is a mathematical system consisting of a set of objects (numbers, functions, permutations, matrices or set of words in a given alphabet) and a rule (binary operation) that combines two objects to give another object (think of addition, multiplication, composition of functions or juxtaposition of words) in a well defined way. Such systems are found in just about every area of mathematics. Used as a tool to study complex problems, abstract algebra has found many applications in codes, combinatorics and geometry.

我的研究方向是代数，更具体地说，是群论。它是一种数学系统，由一组对象（数字、函数、排列、矩阵或给定字母表中的一组单词）和一个规则（二进制操作）组成，该规则以一种明确的方式将两个对象组合在一起，从而给出另一个对象（想想加法、乘法、函数组合或单词并置）。这样的系统几乎存在于数学的每个领域。作为研究复杂问题的工具，抽象代数在密码学、组合学和几何学中有许多应用。