Upper Bounds for the Essential Dimensionof E 7
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 795-800
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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 $\text{ed}\left( {{E}_{7}};\,2 \right)\,\le \,27$ .
Mots-clés :
20G15, 20G41, E 7, essential dimension, stabilizer in general position
MacDonald, Mark L. Upper Bounds for the Essential Dimensionof E 7. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 795-800. doi: 10.4153/CMB-2013-006-x
@article{10_4153_CMB_2013_006_x,
author = {MacDonald, Mark L.},
title = {Upper {Bounds} for the {Essential} {Dimensionof} {E} 7},
journal = {Canadian mathematical bulletin},
pages = {795--800},
year = {2013},
volume = {56},
number = {4},
doi = {10.4153/CMB-2013-006-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-006-x/}
}
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