The classification theorem of Finite Simple Groups, also known as the Enormous Theorem, which states that the Finite Simple Groups can be classified completely into

- 1. Cyclic Groups of Prime Order,
- 2. Alternating Groups of degree at least five,
- 3. Lie-Type Chevalley Groups , , , and ,
- 4. Lie-Type (Twisted Chevalley Groups or the Tits Group) , , , , , , , , ,
- 5. Sporadic Groups , , , , , ,
*Suz*,*HS*,*McL*, , , ,*He*, , , ,*HN*,*Th*, , , ,*O'N*, ,*Ly*,*Ru*, .

**References**

Cartwright, M. ``Ten Thousand Pages to Prove Simplicity.'' *New Scientist* **109**, 26-30, 1985.

Cipra, B. ``Are Group Theorists Simpleminded?'' *What's Happening in the Mathematical Sciences, 1995-1996, Vol. 3.*
Providence, RI: Amer. Math. Soc., pp. 82-99, 1996.

Cipra, B. ``Slimming an Outsized Theorem.'' *Science* **267**, 794-795, 1995.

Gorenstein, D. ``The Enormous Theorem.'' *Sci. Amer.* **253**, 104-115, Dec. 1985.

Solomon, R. ``On Finite Simple Groups and Their Classification.'' *Not. Amer. Math. Soc.* **42**, 231-239, 1995.

© 1996-9

1999-05-26