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.

Read more about this topic:  Maximal Subgroup

Famous quotes containing the word normal:

    “A normal adolescent is so restless and twitchy and awkward that he can mange to injure his knee—not playing soccer, not playing football—but by falling off his chair in the middle of French class.”
    —Judith Viorst (20th century)