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Conductor ideals of orders in algebraic number fields

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Abstract

We will give a new version of proof for Furtwängler’s characterization of all ideals of an algebraic number field which appear as conductors of orders of the field.

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References

  1. Furtwängler Ph.: Über die Führer von Zahlringen. Sitzungsberichte Akademie Wien 128, 239–245 (1919)

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  2. Grell H.: Zur Theorie der Ordnungen in algebraischen Zahl- und Funktionenkörpern. Math. Ann. 97, 524–558 (1927)

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  3. C. Prabpayak, Orders in pure cubic number fields, PhD-thesis, Univ. Graz. Grazer Math. Ber. 361 (2014) (to appear).

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Authors and Affiliations

  1. Institut für Mathematik und wissenschaftliches Rechnen, Karl-Franzens-Universität Graz, Heinrichstraße 36, 8010, Graz, Austria

    Günter Lettl

  2. Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon, 1381 Pibul Songkhram Road, Bangsue, Bangkok, 10800, Thailand

    Chanwit Prabpayak

Authors
  1. Günter Lettl
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  2. Chanwit Prabpayak
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Correspondence to Günter Lettl.

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Lettl, G., Prabpayak, C. Conductor ideals of orders in algebraic number fields. Arch. Math. 103, 133–138 (2014). https://doi.org/10.1007/s00013-014-0655-z

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  • DOI: https://doi.org/10.1007/s00013-014-0655-z

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