亚循环p群的p次中心扩张(Ⅱ)

The Central Extension of Degree p of Metacyclic p-groups(Ⅱ)

设N,H是任意的群.若存在群G,它具有正规子群N≤Z(G),使得N≌N且G/N≌H,则称群G为N被H的中心扩张.完全给出了当|N|=2,H为亚循环2群时,N被H的中心扩张得到的所有不同构的群.

Assume N and H are groups.If there is a group G which has a normal subgroup N≤Z(G)such that N≌N and G/N≌H,then G is called a central extension of N by H.In.this paper;we classified all groups which are central extensions of N by H,where|N|=2 and H is a metacyclic 2-group.