Submission: 2011, Nov 16
This paper gives a new upper bound for the essential dimension and the essential 2-dimension of the split simply connected group of type E_7 over a field of characteristic not 2 or 3. In particular, ed(E_7) <= 29, and ed(E_7 ; 2) <= 27.
2010 Mathematics Subject Classification: 20G15, 20G41
Keywords and Phrases: Essential dimension, exceptional groups, stabilizer in general position
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