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:

    “In order to move others deeply we must deliberately allow ourselves to be carried away beyond the bounds of our normal sensibility.”
    —Joseph Conrad (1857–1924)