- #1
Bashyboy
- 1,421
- 5
Homework Statement
A subgroup ##H## of a group ##G## is normal iff ##\forall g \in G## and ##\forall h \in H##, ##ghg^{-1} \in H##.
Homework Equations
The Attempt at a Solution
I am having trouble seeing how this is not saying the same thing as the definition of a normal subgroup. Could somebody expound the difference between this statement and the definition of a normal subgroup?