On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b

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On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b

Lhoussain El Fadil

Communications in algebra, 01/2022, Volume: 50, Issue: 7

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Let be a number field generated by a complex root α of a monic irreducible trinomial In 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.

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