A definition of Abelian group
Topics
About: group
The table of contents of this article
Starting Context
- The reader knows a definition of group.
Target Context
- The reader will have a definition of Abelian group.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Definition
Any group, \((S, \bullet)\), such that the group operation is commutative, which is that for any elements, \(p_1, p_2 \in S\), \(p_1 \bullet p_2 = p_2 \bullet p_1\)