The History, Classes and Presentations of Groups

摘要：

　　First we introduce the history of group theory.Group theory has three main historical sources:number theory,the theory of algebraic equations,and geometry.Secondly,we give the main classes of groups:permutation groups,matrix groups,transformation groups,abstract groups and topological and algebraic groups.Finally,we give two different presentations of a group:combinatorial group theory and geometric group theory.

关键词： group theory combinatorial group theory geometric group theory

作者: Xiaoqiang Guo Zhengjun He

作者单位: College of Science, Hebei United University, Tangshan 063009, China

会议类型: 国际会议

会议名称: the 2012 International Conference on Frontiers of Advanced Materials and Engineering Technology (2012年先进材料与工程技术国际会议(FAMET 2012))

会议地点: 厦门

会议语种:英文

页码: 834-837

在线出版日期: 2012-01-04（万方平台首次上网日期，不代表论文的发表时间）