definition of simple group
Topics
About: group
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
Starting Context
- The reader knows a definition of group.
Target Context
- The reader will have a definition of simple 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: Structured Description
Here is the rules of Structured Description.
Entities:
\(*G\): \(\in \{\text{ the groups }\}\)
//
Conditions:
\(\{\text{ the normal subgroups of } G\} = \{\{1\}, G\}\)
//
2: Natural Language Description
Any group, \(G\), whose normal subgroups are \(\{1\}\) and \(G\)
