Keywords

#simple_group

Simple group

Group without normal subgroups other than the trivial group and itself

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, namely a nontrivial normal subgroup and the corresponding quotient group. This process can be repeated, and for finite groups one eventually arrives at uniquely determined simple groups, by the Jordan–Hölder theorem.

Mon 22nd

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Simple group Simple Lie group SIMPLE Group Classification of finite simple groups List of finite simple groups Sporadic group Monster group Almost simple group Reductive group Simple
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