Adequate subgroups

Abstract

We study adequate subgroups of $G{L}_n$ 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.

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

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