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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| Médium: | Diplomová práce |
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2017
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| Shrnutí: | <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> |
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