Simple Group
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Simple Group

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, a normal subgroup and the quotient group, and the process can be repeated. If the group is finite, then eventually one arrives at uniquely determined simple groups by the Jordan Hölder theorem. An equivalent definition of a simple Lie group follows from the Lie correspondence: a ...