👉 In mathematics, a normalizer of a group G is an element g in G such that every element h in G has the form ghg^-1 for some h. The goal of normalizing a group is to find an element g in G such that the product g
h = e is equal to 1, where e is the identity element of G and 1 is the unit element of G.
Normalizers are fundamental concepts in group theory because they allow us to study how elements interact