JP Journal of Algebra, Number Theory and Applications
Volume 18, Issue 1, Pages 67 - 77
(August 2010)
|
|
ON THE GALOIS GROUPS OF SEXTIC TRINOMIALS
Stephen C. Brown, Blair K. Spearman and Qiduan Yang
|
irreducible over
and having Galois group isomorphic
to either
the alternating group on four
letters or
where
is the cyclic group of order 2.
These polynomials define sextic fields with a cyclic cubic subfield.