0
$\begingroup$

Let $G$ a group and $X$ a subset of $G$. Let $X^G=\langle X^a : a \in G\rangle$, where $X^a=aXa^{-1}$. Show (using the conjugation classes theory) that $G$ is a minimal normal subroup of $G$ containing $X$.

  • 0
    Do you mean to show that $X^G$ is a minimal normal subgroup of $G$ containing $X$?2012-10-16

1 Answers 1