Adequate subgroups
Number Theory
2013-06-17 v1 Group Theory
Abstract
We study adequate subgroups of 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.
Cite
@article{arxiv.1107.5993,
title = {Adequate subgroups},
author = {Robert Guralnick and Florian Herzig and Richard Taylor and Jack Thorne},
journal= {arXiv preprint arXiv:1107.5993},
year = {2013}
}
Comments
15 pages. This is the appendix to the paper `On the automorphy of $l$-adic Galois representations with small residual image', by Jack Thorne