On ( ; ){Stability of Quadratic Equation on Groups

[[abstract]]In this paper, the ( ; ){stability of the quadratic functional equa- tion is considered on arbitrary groups. It is proved that every group can be embedded into a group in which the quadratic equation is ( ; )- stable. Further, it is shown that the quadratic functional equation is ( ; )-stable on all abelian groups and some non-abelian groups such as UT(3;K), T(3;K) and T(2;K), where K is an arbitrary eld. The results of Skof [19] and Czerwik [4] are generalized in this paper