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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Famous quotes containing the word normal:

    “Our normal waking consciousness, rational consciousness as we call it, is but one special type of consciousness, whilst all about it, parted from it by the filmiest of screens, there lie potential forms of consciousness entirely different.”
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