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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Библиографические подробности
Главный автор: Lim, J
Другие авторы: Kim, M
Формат: Диссертация
Опубликовано: 2017
Описание
Итог:<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>