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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