True or False In abelian group all subgroups are normal A su

True or False In abelian group all sub-groups are normal A subgroup H of a group G is normal elementof iF only iF For every g elementof G gH = Hg

Solution

a) True

b)true

In abstract algebra a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.In other words a subgroup h of G if and only if hg=gh for all g in G