Simple
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Formal Definition
A group is simple if it is nontrivial and has no proper nontrivial normal subgroups.
Informal Definition
Replace this text with an informal definition.
Example(s)
The alternating group $A_{n}$ is simple for $n\geq5$.
Non-example(s)
$S_{n}$ is not a simple group for $n\geq3$ because $A_{n}$ is a normal subgroup.
Additional Comments
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