Steklov Institute of Mathematics at St.Petersburg

PREPRINT 9/2002

лтйфетйк оетбътеыйнпуфй ч тбдйлбмби оертйчпдйнпзп хтбчоеойс ртпуфпк уфереой

This preprint was accepted June 3, 2002
Contact: B. B. Lur'e

ABSTRACT:
A sufficient condition under which an irreducible equation
of prime  degree is unsolvable in radicals is obtained. This
condition is that the discriminant of an equation 
cannot be expressed as the sum of two squares in the ground field.
For an equation of degree 5 this condition implies that the
Galois group is $\goth S_5$.