Galois actions on non-abelian finite groups and applications
<p>In this thesis, we consider the Galois actions on some finite characteristic quotients of the geometric fundamental groups of once-punctured elliptic curves. In particular, those of which can be naturally regarded as non-abelian lifts of usual mod &ell; Galois representations att...
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| Další autoři: | |
| Médium: | Diplomová práce |
| Vydáno: |
2017
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| _version_ | 1826296314387759104 |
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| author | Lim, J |
| author2 | Kim, M |
| author_facet | Kim, M Lim, J |
| author_sort | Lim, J |
| collection | OXFORD |
| description | <p>In this thesis, we consider the Galois actions on some finite characteristic quotients of the geometric fundamental groups of once-punctured elliptic curves. In particular, those of which can be naturally regarded as non-abelian lifts of usual mod &ell; Galois representations attached to elliptic curves. We also find its applications to some questions in the realm of Diophantine geometry.</p> |
| first_indexed | 2024-03-07T04:14:26Z |
| format | Thesis |
| id | oxford-uuid:c8ef61d6-ddd0-46eb-9304-1ab091b60f35 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:14:26Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oxford-uuid:c8ef61d6-ddd0-46eb-9304-1ab091b60f352022-03-27T06:55:31ZGalois actions on non-abelian finite groups and applicationsThesishttp://purl.org/coar/resource_type/c_db06uuid:c8ef61d6-ddd0-46eb-9304-1ab091b60f35ORA Deposit2017Lim, JKim, M<p>In this thesis, we consider the Galois actions on some finite characteristic quotients of the geometric fundamental groups of once-punctured elliptic curves. In particular, those of which can be naturally regarded as non-abelian lifts of usual mod &ell; Galois representations attached to elliptic curves. We also find its applications to some questions in the realm of Diophantine geometry.</p> |
| spellingShingle | Lim, J Galois actions on non-abelian finite groups and applications |
| title | Galois actions on non-abelian finite groups and applications |
| title_full | Galois actions on non-abelian finite groups and applications |
| title_fullStr | Galois actions on non-abelian finite groups and applications |
| title_full_unstemmed | Galois actions on non-abelian finite groups and applications |
| title_short | Galois actions on non-abelian finite groups and applications |
| title_sort | galois actions on non abelian finite groups and applications |
| work_keys_str_mv | AT limj galoisactionsonnonabelianfinitegroupsandapplications |