# showing center of a group is normal

• May 8th 2008, 06:37 AM
szpengchao
showing center of a group is normal
Show that the center of a group is normal...
• May 8th 2008, 07:13 AM
ThePerfectHacker
Quote:

Originally Posted by szpengchao
Show that the center of a group is normal...

$H\triangleleft G$ if and only if $ghg^{-1} \in H$ for all $h\in H$ and $g\in G$.
Using this definition it should be a straightforward proof.