亚循环p群的p次中心扩张(Ⅱ)  

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

作　　者：刘国杰 安立坚[1] 张晓娇 宋蔷薇[1] LIU Guo-jie;AN Li-jian;ZHANG Xiao-jiao;SONG Qiang-wei(School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004 China)

机构地区：[1]山西师范大学数学与计算机科学学院,山西临汾041004

出　　处：《数学的实践与认识》2022年第2期206-212,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11901367,11971280)。

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.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.

关 键 词：亚循环2群 中心扩张 正规子群 

分 类 号：O152.1[理学—数学]