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arxiv: 1107.5993 · v1 · pith:H7MKZOMLnew · submitted 2011-07-29 · 🧮 math.NT · math.GR

Adequate subgroups

Robert Guralnick , Florian Herzig , Richard Taylor , Jack Thorne This is my paper
classification 🧮 math.NT math.GR
keywords adequatesubgroupsautomorphyconditionfieldfinitegivelifting
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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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