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A finite group $G$ is simple if it has only two normal subgroups - the trivial group and $G$ itself. Simple groups are building blocks for all finite groups, via extensions, and they are divided into cyclic groups of prime order and the non-abelian simple groups. For small orders they are all alternating or linear.

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  • Review status: reviewed
  • Last edited by Tim Dokchitser on 2019-05-22 11:42:05
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