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Homesimple group

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# simple group

A non-trivial group $G$ is said to be *simple*
if the only normal subgroups of $G$ are $\{1\}$ and $G$ itself.

Equivalently, a simple group is a group in which the trivial subgroup is a maximal normal subgroup.

Defines:

simple

Related:

Group, NormalSubgroup

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

20E32*no label found*

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