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math.CO2022
Commutation relations of and the incidence geometry of the Fano plane
Michel Rausch de Traubenberg, M J Slupinski
We continue our study and classification of structures on the Fano plane and its dual involved in the construction of octonions and the Lie algebra $\mat…
math.CO2022
Incidence geometry of the Fano plane and Freudenthal's ansatz for the construction of (split) octonions
Michel Rausch de Traubenberg, Marcus J. Slupinski
In this article we consider structures on a Fano plane which allow a generalisation of Freudenthal's construction of a norm and a bilinear multiplication law on an eight…