An epistemological analysis of the concept of quotient group

Tóm tắt

In the history  of group  theory, the quotient group is considered to be fundamental to the study of groups. The concept’s development of quotient group is closely linked with the abstraction of group theory. This paper presents an epistemological analysis of the history of the development
and formation  of the “standard  definition”  of quotient group, which helps determine the epistemological characteristics and the obstacles for students in learning the quotient group.