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 &amp;ell; Galois representations att...

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Detalles Bibliográficos
Autor principal: Lim, J
Otros Autores: Kim, M
Formato: Tesis
Publicado: 2017
Descripción
Sumario:<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 &amp;ell; Galois representations attached to elliptic curves. We also find its applications to some questions in the realm of Diophantine geometry.</p>