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Upper Bounds for the Essential Dimension of E7
Mark L. MacDonald
Journal:

Canadian Mathematical Bulletin / Volume 56 / Issue 4 / 01 December 2013

Published online by Cambridge University Press:

20 November 2018, pp. 795-800

Print publication:

01 December 2013
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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, $\text{ed}\left( {{E}_{7}} \right)\,\le \,29$, and $\text{ed}\left( {{E}_{7}};\,2 \right)\,\le \,27$.