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The geometry of the moduli space of biquadratic field extensions
Thesis (MSc)--Stellenbosch University, 2019.
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| Other Authors: | |
| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2020
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| _version_ | 1867613859721773056 |
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| access_status_str | Open Access |
| author | Cele, Mpendulo |
| author2 | Marques, Sophie |
| author_browse | Cele, Mpendulo Marques, Sophie |
| author_facet | Marques, Sophie Cele, Mpendulo |
| author_sort | Cele, Mpendulo |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc)--Stellenbosch University, 2019. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/109342 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:42:50.594Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/109342 The geometry of the moduli space of biquadratic field extensions Cele, Mpendulo Marques, Sophie Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division Mathematics. Moduli theory Galois modules (Algebra) Equations, Abelian Equations, Biquadratic Geometry, Algebraic Field extensions (Mathematics) UCTD Thesis (MSc)--Stellenbosch University, 2019. ENGLISH ABSTRACT: Mathematicians are always interested in understanding mathematical objects from different angles, This makes the task of classifying mathematical objects useful, as it permits one to study a mathematical object and infer the conclusions on another mathematical object that has the same underlying structure as the one studied. In this thesis we study the moduli space of non-cyclic biquadratic field extensions over any field whose characteristic is not 2. Keywords : biquadratic, elementary abelian, Galois, radical AFRIKAANSE OPSOMMING: Wiskundiges is altyd geïnteresseerd in die verstaan van wiskundige voorwerpe vanuit verskillende hoeke, Dit maak die taak om wiskundige voorwerpe te klassifiseer nuttig, aangesien dit een toelaat om a te bestudeer wiskundige voorwerp en lei die gevolgtrekkings oor ’n ander wiskundige voorwerp wat bestaan dieselfde onderliggende struktuur as die een wat bestudeer is. In hierdie tesis bestudeer ons die modulêre ruimte van nie-sikliese tweekadratiese velduitbreidings oor enige veld waarvan die kenmerk is so nie 2. tweekadratiese velduitbreidings oor enige veld waarvan die kenmerk is so nie 2. Keywords : bisadraties, elementere abeliaanse, Galois, radikaal Masters 2020-12-01T10:19:07Z 2021-01-31T19:45:36Z 2020-12-01T10:19:07Z 2021-01-31T19:45:36Z 2020-12 Thesis http://hdl.handle.net/10019.1/109342 en_ZA Stellenbosch University vi, 53 pages application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Moduli theory Galois modules (Algebra) Equations, Abelian Equations, Biquadratic Geometry, Algebraic Field extensions (Mathematics) UCTD Cele, Mpendulo The geometry of the moduli space of biquadratic field extensions |
| title | The geometry of the moduli space of biquadratic field extensions |
| title_full | The geometry of the moduli space of biquadratic field extensions |
| title_fullStr | The geometry of the moduli space of biquadratic field extensions |
| title_full_unstemmed | The geometry of the moduli space of biquadratic field extensions |
| title_short | The geometry of the moduli space of biquadratic field extensions |
| title_sort | geometry of the moduli space of biquadratic field extensions |
| topic | Moduli theory Galois modules (Algebra) Equations, Abelian Equations, Biquadratic Geometry, Algebraic Field extensions (Mathematics) UCTD |
| url | http://hdl.handle.net/10019.1/109342 |
| work_keys_str_mv | AT celempendulo thegeometryofthemodulispaceofbiquadraticfieldextensions AT celempendulo geometryofthemodulispaceofbiquadraticfieldextensions |