The general relations between the homology of a group and its lower central series are exhibited with the help of the 5-term sequence,and the main tool for the proof possesses H~2(G,A)classification extensions with Abelian Kernel.

• 本文利用5-项序列来表示群的同调与其低项中心序列之间的一般关系,证明中用的主要工具是具有阿贝尔核的 H~2(G,A)的分类扩张。