The subgroups of the special linear group over a skew field that contain the group of diagonal matrices

For any (noncommutative) skew field $T$, the lattice of subgroups of the special linear group $\Gamma=\mathrm{SL}(n,T)$ that contain the subgroup $\Delta=\mathrm{SD}(n,T)$ of diagonal matrices (with Dieudonné determinants equal to 1) is studied. It is established that for any subgroup $H$, $\Delta\le H\le\Gamma$, there exists a uniquely determined unital net $\sigma$ such that $\Gamma(\sigma)\le H\le\mathcal N(\sigma)$, where $\Gamma(\sigma)$ is the net subgroup associated with the net $\sigma$ and $\mathcal N(\sigma)$ is its normalizer in $\Gamma$. Bibliography: 11 titles.