# pronormal subgroup

A subgroup $H$ of a group $G$ is called a pronormal subgroup if for all $x\in G$ the subgroups $H$ and $xHx^{-1}$ are conjugate in ${\left\langle H,xHx^{-1}\right\rangle}$.

Some facts about pronormal subgroups:

Title pronormal subgroup PronormalSubgroup 2013-03-22 16:28:13 2013-03-22 16:28:13 yark (2760) yark (2760) 6 yark (2760) Definition msc 20E99 pronormal pronormality