A simple group is a group with no normal subgroups other than e (the trivial group) and itself. The most common examples of simple groups are the alternating groups A_n, where n > 4.

The classification theorem of finite simple groups states that there are four basic types of finite simple groups, along with twenty-six `sporadic simple groups'. Because of the size (over 15,000 pages) of the proof of this theorem, it is also known as the enormous theorem.

Log in or register to write something here or to contact authors.