[GAP Forum] Solving Cubic and Quartic Equations in GAP

[Andreas Distler]

Dear John Mckay, dear GAP Forum,

> What does the answer below mean???
>
> "if at all possible" - for 3-ics and 4-ics it is ALWAYS possible.
>
> has the answerer provided an expression in radicals for ALL solvable
> polynomial in Z[x]?

Indeed, I have described a theoretical approach in my diploma-thesis and 
implemented the method in GAP (whereas KANT is also needed to use the 
package). While it can deal with every solvable polynomial in theory, the 
implementation is less practical than Bill Allombert's one:

>This is quite practical, you can handle polynomial of degree 100 and
>more, and it is available in PARI/GP but not in GAP.

It depends primarily on the order of the galois group, which should be less 
than 100 in general.

Best wishes,
Andreas