Geodesic
On the Tits–Weiss conjecture and the Kneser–Tits conjecture for $\mathrm {E}^{78}_{7,1}$ and $\mathrm {E}^{78}_{8,2}$ (With an Appendix by R. M. Weiss)
Forum of Mathematics, Sigma, Tome 9 (2021)

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We prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the Tits–Weiss conjecture for Albert algebras and the Kneser–Tits conjecture for isotropic groups of type $\mathrm {E}_{7,1}^{78}, \mathrm {E}_{8,2}^{78}$. As a further corollary, we show that some standard conjectures on the groups of R-equivalence classes in algebraic groups and the norm principle are true for strongly inner forms of type $^1\mathrm {E}_6$. 
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     title = {On the {Tits{\textendash}Weiss} conjecture and the {Kneser{\textendash}Tits} conjecture for $\mathrm {E}^{78}_{7,1}$ and $\mathrm {E}^{78}_{8,2}$ {(With} an {Appendix} by {R.} {M.} {Weiss)}},
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Seidon Alsaody; Vladimir Chernousov; Arturo Pianzola. On the Tits–Weiss conjecture and the Kneser–Tits conjecture for $\mathrm {E}^{78}_{7,1}$ and $\mathrm {E}^{78}_{8,2}$ (With an Appendix by R. M. Weiss). Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.65

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