On the index of a number field

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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]. © 1985 American Mathematical Society.
Original languageEnglish
Pages (from-to)171-183
JournalTransactions of the American Mathematical Society
Issue number1
Publication statusPublished - 1 Jan 1985


  • Index of a number field
  • Ore’s conjecture


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