The elements "σ" and "τ" generate the stabiliser of a vertex. The link of this vertex can be identified with the spherical building of "SL"3(F2) and the stabiliser can be identified with the collineation group of the Fano plane generated by a 3-fold symmetry σ fixing a point and a cyclic permutation τ of all 7 points, satisfying "στ" = "τ"2"σ". Identifying F8* with the Fano plane, σ can be taken to be the restriction of the Frobenius automorphism "σ"("x") = "x"22 of F8 and τ to be multiplication by any element not in the prime field F2, i.e. an order 7 generator of the cyclic multiplicative group of F8. This Frobenius group acts simply transitively on the 21 flags in the Fano plane, i.e. lines with marked points. The formulas for σ and τ on "E" thus "lift" the formulas on F8.