Geodesic
Width of groups of type $\mathrm E_6$ with respect to root elements. II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 20, Tome 386 (2011), pp. 242-264 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider simply-connected and adjoint groups of type $\mathrm E_6$ over fields. Let $K$ be a field such that every polynomial of degree at most 6 has a root in $K$. We prove that every element of an adjoint group of type $\mathrm E_6$ over $K$ can be written as a product of at most seven root elements. Bibl. 59 titles. 
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I. M. Pevzner. Width of groups of type $\mathrm E_6$ with respect to root elements. II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 20, Tome 386 (2011), pp. 242-264. http://geodesic.mathdoc.fr/item/ZNSL_2011_386_a6/

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