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Upper Bounds for the Essential Dimensionof E7
Published online by Cambridge University Press: 20 November 2018
Abstract.
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 $\text{ed}\left( {{E}_{7}};\,2 \right)\,\le \,27$.
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- Copyright © Canadian Mathematical Society 2013
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