3 problems

Let $G$ be a simple infinite group, and let $\langle\sigma,\rho\rangle$ denote a group of non-trivial triality acting on $G$. Let $D(4,K)$ denote the group of type $D_4$ over a fie…

Let $L$ be the Moufang loop constructed in the source, and let octonion algebras be the algebras whose norm-one unit loops are Moufang. Moufang-loop and octonion-algebra conjecture…

Let $\mathfrak{R^t}$ be the three-coloured random graph with colour-triality action, and consider the associated triality phenomena for the Leech lattice, Moufang loops, octonion a…