2 problems

Let $n\in\{8,\ldots,12\}$. Let $(A_n,\mathcal X_b,V,\phi,\psi)$ be a Majorana representation of $A_n$, and let $V^\circ$ be its 2-closure. For every element $\tau\in A_n$ of cycle…

Let $A$ be an indecomposable Majorana algebra. For each $i\in\{2,3,4,5,6\}$, suppose there are Miyamoto involutions $t_1$ and $t_2$ such that the order of $t_1t_2$ is $i$. Straight…