【摘要】 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.本文完全分类了当N为循环p群,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.更多还原

【Abstract】 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 classify all groups which are central extensions of N by H,where N is a cyclic p-group and H is an inner abelian p-group.更多还原