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Search: MSC category 20G41 ( Exceptional groups )

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MacDonald, Mark L.
 Upper Bounds for the Essential Dimension of $E_7$ 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, $\operatorname{ed}(E_7) \leq 29$, and $\operatorname{ed}(E_7;2) \leq 27$. Keywords:$E_7$, essential dimension, stabilizer in general positionCategories:20G15, 20G41

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Gille, Philippe
 Octonion Algebras over Rings are not Determined by their Norms Answering a question of H. Petersson, we provide a class of examples of pair of octonion algebras over a ring having isometric norms. Keywords:octonion algebras, torsors, descentCategories:14L24, 20G41