A quick question: are you familiar with Galois theory? If not, please 
check out

      http://www.galois-group.net/theory/math594fS.pdf

And if you are familiar with Galois theory, you really should identify 
the error $(D??(Bvariste Galois made in his theory that has gone unnoticed for 
nearly two centuries.

-- 
"All things extant in this world,
Gods of Heaven, gods of Earth,
Let everything be as it should be;
Thus shall it be!"
- Magical chant from "Magical Shopping Arcade Abenobashi"

"Drizzle, Drazzle, Drozzle, Drome,
Time for this one to come home!"
- Mr. Wizard from "Tooter Turtle"