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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Lim, J
مؤلفون آخرون: Kim, M
التنسيق: أطروحة
منشور في: 2017
الوصف
الملخص:<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>