【摘要】 设N,H是任意的群.若存在群G,它具有正规子群≤Z(G),使得≌N且G/≌H,则称群G为N被H的中心扩张.本文完全分类了当N为p~3阶初等交换p群及H为内交换p群时,N被H的中心扩张得到的所有不同构的群.从而我们完全分类了初等交换p群被内交换p群的中心扩张得到的所有不同构的群.更多还原

【Abstract】 Assume N and H are groups.If there is a group G which has a normal subgroup ≤Z(G) such that ≌N and G/≌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 is an elementary abelian p-group of order p~3 and H is an inner abelian p-group.Thus all groups which are central extensions of an elementary abelian p-group by an inner abelian p-group are classified.更多还原