transitive subgroup

《Algebra》 · 第 269 页 · Section V.4「The Galois Group of a Polynomial」

Recall that a subgroup $C$ of the symmetric group $S_n$ is said to be transitive if given any $i\neq j$ $(1\le i,j\le n)$, there exists $\sigma\in C$ such that $\sigma(i)=j$.