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On the Index of a Number Field

Enric Nart
Transactions of the American Mathematical Society
Vol. 289, No. 1 (May, 1985), pp. 171-183
DOI: 10.2307/1999694
Stable URL: http://www.jstor.org/stable/1999694
Page Count: 13
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On the Index of a Number Field
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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 [8] and showed by Engstrom in a particular case [2].

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