Submission: 2010, Oct 28
We compute the exact value for the essential p-dimension of the normalizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups.
For each connected simple algebraic group, we also give an upper bound on the essential p-dimension of any torus contained in that group. These results are achieved by a detailed case-by-case analysis.
2000 Mathematics Subject Classification: 20G15
Keywords and Phrases: Essential dimension, Sylow subgroups, Weyl groups, character lattice,
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