On Biquadratic fields that admit unit power integral basis

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dc.contributor.authorPethő, A.
dc.contributor.authorZiegler, V.
dc.date.accessioned2022-04-22T11:24:42Z
dc.date.available2022-04-22T11:24:42Z
dc.date.issued2011-04-07
dc.descriptionIn general it is a hard problem to decide which number fields K admit power integral bases, PIB for short. In general to decide whether a number field K admits a PIB or not leads to so called index form equations.en_US
dc.description.abstractWe consider biquadratic number fields whose maximal orders have power integral bases consisting of units. We prove an effective and efficient criteria to decide whether the maximal order of a biquadratic field has a unit power integral basis or not. In particular we can determine all trivial biquadratic fields whose maximal orders have a unit power integral basis.en_US
dc.description.sponsorshipThe first author was supported by the Hungarian National Foundation for Scientific Research Grant, The second project is implemented through the New Hungary Development Plan co-financed by the European Social Fund, and the European Regional Development Fund. The second author was supported by the Austrian Sience Found (FWF) under the project J2886-NT. Both authors were supported by the T´eT project AT 5-09. World Banken_US
dc.identifier.citationA. Petho, V. Ziegler (2011). On Biquadratic fields that admit unit power integral basis. Acta Math. Hungar., Pg 221–241 DOI: 10.1007/s10474-011-0103-5en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1419
dc.language.isoenen_US
dc.publisherActa Mathematica Hungaricaen_US
dc.relation.ispartofseriesDOI: 10.1007/s10474-011-0103-5;21
dc.subjectunit sum numberen_US
dc.subjectadditive unit structureen_US
dc.titleOn Biquadratic fields that admit unit power integral basisen_US
dc.typeArticleen_US
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