THE NONEXISTENCE OF CERTAIN NONSOLVABLE GALOIS EXTENSIONS OF NUMBER FIELDS OF SMALL DEGREE
Sharon Brueggeman · International Journal of Number Theory · 2005
Serre's conjecture predicts the nonexistence of certain nonsolvable Galois extensions of ℚ which are unramified outside one small prime. These nonexistence theorems have been proven by the techniques of discriminant bounding. In this paper, we will apply these techniques to nonsolvable extensions of small degree number fields.