Category:Definitions/Simple Groups

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This category contains definitions related to Simple Groups.
Related results can be found in Category:Simple Groups.


A group $G$ is simple if and only if it has only $G$ and the trivial group as normal subgroups.

That is, if and only if the composition length of $G$ is $1$.

Subcategories

This category has the following 2 subcategories, out of 2 total.

Pages in category "Definitions/Simple Groups"

The following 2 pages are in this category, out of 2 total.