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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 August 2016
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| In: |
LMS journal of computation and mathematics
Year: 2016, Volume: 19, Issue: A, Pages: 178-195 |
| ISSN: | 1461-1570 |
| DOI: | 10.1112/S1461157016000310 |
| Online Access: | 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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| Author Notes: | Gebhard Böckle and Damián Gvirtz |
| Summary: | 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. |
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| Item Description: | Gesehen am 28.01.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1461-1570 |
| DOI: | 10.1112/S1461157016000310 |