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Title: Galois actions on non-abelian finite groups and applications
Author: Lim, Junghwan
ISNI:       0000 0004 7232 600X
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2017
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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.
Supervisor: Kim, Minhyong Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available