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Lhoussain El Fadil
Communications in algebra, 01/2024, Letnik: 52, Številka: 4Journal Article
The main goal of this paper is to calculate the index of any number field K generated by a root of an irreducible trinomial x4+ax+b∈Zx. Our approach is based on Engstrom’s results and the factorization of 2ZK and 3ZK. In particular, we reformulate the Davis and Spearman’s results. Namely, for every prime integer p, we evaluate νp(i(K)). The existence of a common index divisor of K guaranties the non monogenity of K.
