mlm@math.ubc.ca

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,

Full text: dvi.gz 59 k, dvi 148 k, ps.gz 808 k, pdf.gz 240 k, pdf 266 k.

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