3 problems

Let $p$ be prime, let $T$ be a non-solvable transitive subgroup of $\mathrm{Sym}(p)$, and let $D$ be the diagonal module used in the monomial-group classification. A module is unis…

Let $p$ be prime, let $T$ be a non-solvable transitive subgroup of $\mathrm{Sym}(p)$, and let $D$ be the diagonal subgroup appearing in the monomial group…

Let $p$ be prime, let $D_{\{p\}'}$ denote the relevant diagonal module, and let $T$ be a non-solvable transitive subgroup of $\mathrm{Sym}(p)$. Write $N_{\mathrm{Sym}(p)}(T)$ for t…