On the index of a number field

Nart, Enric

doi:10.1090/S0002-9947-1985-0779058-2

On the index of a number field
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Trans. Amer. Math. Soc. 289 (1985), 171-183 Request permission

Abstract:

Arithmetic invariants are found which determine the index $i(K)$ of a number field $K$. They are used to obtain an explicit formula under certain restrictions on $K$. They provide also a complete explanation of a phenomenon conjectured by Ore [${\mathbf {8}}$] and showed by Engstrom in a particular case [${\mathbf {2}}$].

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