Normalizer of an elementary net group associated with a non-split torus in the general linear group over a field

In this paper we compute the normalizer $N(\sigma)$ of an elementary net group $E(\sigma)$ associated with non-split maximal torus $T(d)$ in the general linear group $GL(n,k)$ over a field $k$ of odd characteristic. The non-split maximal torus $T=T(d)$ is provided by a radical extension $k(\sqrt[n]d)$ of degree $n$ of the ground field $k$ (minisotropic torus).