%0 Journal Article
%T On congruences of Galois representations of number fields
%A Yoshiyasu Ozeki
%A Yuichiro Taguchi
%J Mathematics
%D 2013
%I arXiv
%X We give a criterion for two l-adic Galois representations of an algebraic number field to be isomorphic when restricted to a decomposition group, in terms of the global representations mod l. This is applied to prove a generalization of a conjecture of Rasmussen-Tamagawa under a semistablity condition, extending some results of one of the authors. It is also applied to prove a congruence result on the Fourier coefficients of modular forms.
%U http://arxiv.org/abs/1306.0321v1