Simple Group

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, a normal subgroup and the quotient group, and the process can be repeated. If the group is finite, then eventually one arrives at uniquely determined simple groups by the Jordan–Hölder theorem.

Read more about Simple Group:  Structure of Finite Simple Groups, History For Finite Simple Groups, Tests For Nonsimplicity

Famous quotes containing the words simple and/or group:

    “How simple a thing it seems to me that to know ourselves as we are, we must know our mothers’ names.”
    —Alice Walker (b. 1944)

    “around our group I could hear the wilderness listen.”
    —William Stafford (1914–1941)