摘要
设N,H是任意的群.若存在群G,它有正规子群N≤Z(G),使得N≌N且G/N√≌H,则称群G为N被H的中心扩张.完全分类了当N为2阶循环群及H为极大类2群时,N被H的中心扩张得到的所有互不同构的群.
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 classify all groups which are central extensions of N by H, where N is a cyclic group of order p and H is a maximal class 2-groups.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第23期231-236,共6页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2012011001-3)
山西省回国留学人员科研项目([2011]8-59)
关键词
极大类2群
二面体群
广义四元数群
半二面体群
maximal class 2-groups
dihedral groups
generalized quaternion groups
semidi-hedral groups
