JP Journal of Algebra, Number Theory and Applications
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Abstract: For nonzero rational numbers A and B, we characterize
all sextic trinomials 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.
Keywords and phrases: Galois group, sextic trinomial, genus two curve.
