Adequate subgroups

Mathematics – Number Theory

Scientific paper

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15 pages. This is the appendix to the paper `On the automorphy of $l$-adic Galois representations with small residual image',

Scientific paper

We study adequate subgroups of $GL_n$ over a finite field. This notion is
useful in the study of automorphy lifting theorems. In particular, we give a
sufficient condition for a subgroup to be adequate.

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