中文摘要：

研究了光滑映射芽关于接触群的一个子群的无限决定性。定义了光滑映射芽的无限相对决定，并给出光滑映射芽是无限相对决定的充要条件。

英文摘要：

The infinite determinacy of smooth map-germs relative to a subgroup of contact group will be investigated.It defines the infinite relative determination for smooth map-germs, then the necessary and sufficient conditions for a smooth map-germ to be infinitely relative determined are given.