Toric decomposition in algebraic groups

Dávid R. Szabó

Over an arbitrary field $\mathbb{F}$, we construct $n+1$ maximal tori $T_1,\dots ,T_{n+1}$ in ${\mathrm{PGL}}_n(\mathbb{F})$ so that the product $T_1\dots T_{n+1}$ is almost the…