👉 In mathematics, a stabilizer of an element $a$ in a group $G$, denoted by $\text{Stab}(a) \subseteq G$, is the set of all elements that commute with $a$. This property ensures that $a$ remains unchanged under any operation performed on $G$, and it includes both the identity element and the inverse of $a$. For example, in a group of order 6, the stabilizer of an element $a = 3
