Maximal Subgroup - Maximal Normal Subgroup

Maximal Normal Subgroup

Similarly, a normal subgroup N of G is said to be a maximal normal subgroup (or maximal proper normal subgroup) of G if N

Theorem: A normal subgroup N of a group G is a maximal normal subgroup if and only if the quotient G/N is simple.

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“Normality highly values its normal man. It educates children to lose themselves and to become absurd, and thus to be normal. Normal men have killed perhaps 100,000,000 of their fellow normal men in the last fifty years.”
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