Division algebras and maximal orders for given invariants

Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for Fq(t), excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fi...

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Hauptverfasser: Böckle, Gebhard (VerfasserIn) , Gvirtz, Damián (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 26 August 2016
In: LMS journal of computation and mathematics
Year: 2016, Jahrgang: 19, Heft: A, Pages: 178-195
ISSN:1461-1570
DOI:10.1112/S1461157016000310
Online-Zugang:Resolving-System, Volltext: http://dx.doi.org/10.1112/S1461157016000310
Verlag, Volltext: https://www.cambridge.org/core/journals/lms-journal-of-computation-and-mathematics/article/division-algebras-and-maximal-orders-for-given-invariants/7A9F4731660F6140FDF90662210534CE
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Verfasserangaben:Gebhard Böckle and Damián Gvirtz
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Zusammenfassung:Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for Fq(t), excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fields.
Beschreibung:Gesehen am 28.01.2019
Beschreibung:Online Resource
ISSN:1461-1570
DOI:10.1112/S1461157016000310