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Letbe a number field generated by a complex root  α  of a monic irreducible trinomialIn this paper, for every prime integer  p , we give necessary and sufficient conditions on  a  and  b  so that  p  is a common index divisor of  K . In particular, if any one of these conditions holds, then  K  is not monogenic.

On common index divisors and monogenity of certain number fields defined by x 5 + ax 2 + b