Re: FLTMA: A little group theory


Gerry Myerson wrote:
In article <1160096826.870833.309200@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"The Dougster" <DGoncz@xxxxxxx> wrote:

Let me summarize.

The whole point of this thread is to see if we can show that there are
no counterexamples to FLT, because there are no primitive
counterexamples, because there are no candidate counterexamples
(x,y,z,p) with

(1) p odd prime
(2) gcd(x,y,z) =1 or x,y,z pairwise coprime
(3) exactly one of {x,y,z) even
(4) x<y<z<(z+y)
(5) (x^p + y^p) == 0 mod z
(6) (z^p - x^p) == 0 mod y
(7) (z^p - y^p) == 0 mod x

using group theory or whatever we happen to have lying around. :)

Unless whatever you happen to have lying around includes
Galois representations and the like, your chances of success
are pretty much zero.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)

Yeah, I think I have those lying around. Yes, I do. Galios field theory
is in the text, but not in our syllabus.

Doug

.

Relevant Pages

  • Re: FLTMA: A little group theory
    ... counterexamples, because there are no candidate counterexamples ... using group theory or whatever we happen to have lying around. ... Gerry Myerson ... Galois representations, and the other tools Wiles & Taylor used, ...
    (sci.math)
  • Re: FLTMA: A little group theory
    ... no counterexamples to FLT, ... counterexamples, because there are no candidate counterexamples ... using group theory or whatever we happen to have lying around. ... Gerry Myerson ...
    (sci.math)
  • Re: FLTMA: A little group theory
    ... Let me summarize. ... no counterexamples to FLT, ... counterexamples, because there are no candidate counterexamples ... using group theory or whatever we happen to have lying around. ...
    (sci.math)