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Transactions of the American Mathematical Society

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On the index of a number field

Author: Enric Nart
Journal: Trans. Amer. Math. Soc. 289 (1985), 171-183
MSC: Primary 11R21; Secondary 12F05
MathSciNet review: 779058
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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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Keywords: Index of a number field, Ore's conjecture
Article copyright: © Copyright 1985 American Mathematical Society