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math.RT2016
A lower bound for the dimension of a highest weight module
Daniel Goldstein, Robert Guralnick, Richard Stong
For each integer and each complex simple Lie algebra , we determine the least dimension of an irreducible highest weight representation of whose…
math.GR2016
Finite Groups with Odd Sylow Normalizers
Robert M. Guralnick, Gabriel Navarro, Pham Huu Tiep
We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alp…