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  • On common index divisor and...
    On common index divisor and monogenity of certain number fields defined by trinomials X6 + AX + B
    Lhoussain El Fadil

    Quaestiones mathematicae, 08/2023, Letnik: 46, Številka: 8
    Journal Article

    For a number field K defined by a trinomial F (x) = x6 + ax + b ∈ ℤx, Jakhar and Kumar gave some necessary conditions on a and b, which guarantee the non-monogenity of K 25. In this paper, for every prime integer p, we characterize when p is a common index divisor of K. In particular, if any one of these conditions holds, then K is not monogenic. In such a way our proposed results extend those of Jakhar and Kumar.

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