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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| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.748875 |
| Summary: | 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. |
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