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math.NT2011★ 71 cited
Adequate subgroups
Robert Guralnick, Florian Herzig, Richard Taylor +1
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 su…
math.NT2011★ 27 cited
Weight cycling and Serre-type conjectures for unitary groups
Matthew Emerton, Toby Gee, Florian Herzig
We prove that for forms of U(3) which are compact at infinity and split at places dividing a prime p, in generic situations the Serre weights of a mod p modular Galois representati…