Galois actions on non-abelian finite groups and applications
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 ℓ Galois representations attached to ellipti...
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University of Oxford
2017
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ndltd-bl.uk-oai-ethos.bl.uk-7488752019-01-08T03:16:26ZGalois actions on non-abelian finite groups and applicationsLim, JunghwanKim, Minhyong2017In 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 ℓ Galois representations attached to elliptic curves. We also find its applications to some questions in the realm of Diophantine geometry.University of Oxfordhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748875http://ora.ox.ac.uk/objects/uuid:c8ef61d6-ddd0-46eb-9304-1ab091b60f35Electronic Thesis or Dissertation |
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NDLTD |
| description |
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 ℓ Galois representations attached to elliptic curves. We also find its applications to some questions in the realm of Diophantine geometry. |
| author2 |
Kim, Minhyong |
| author_facet |
Kim, Minhyong Lim, Junghwan |
| author |
Lim, Junghwan |
| spellingShingle |
Lim, Junghwan Galois actions on non-abelian finite groups and applications |
| author_sort |
Lim, Junghwan |
| title |
Galois actions on non-abelian finite groups and applications |
| title_short |
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_sort |
galois actions on non-abelian finite groups and applications |
| publisher |
University of Oxford |
| publishDate |
2017 |
| url |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748875 |
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AT limjunghwan galoisactionsonnonabelianfinitegroupsandapplications |
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1718806959805693952 |