# abnormal subgroup

A subgroup $H$ of a group $G$ is called an abnormal subgroup if $x\in{\left\langle H,xHx^{-1}\right\rangle}$ for all $x\in G$.

Some facts about abnormal subgroups:

Title abnormal subgroup AbnormalSubgroup 2013-03-22 16:28:15 2013-03-22 16:28:15 yark (2760) yark (2760) 4 yark (2760) Definition msc 20E99 abnormal abnormality