极大类2群的4次中心扩张  

The Central Extension of Degree 4 By A 2-Group of Maximal Class

作　　者：王成虎 何立国[1] WANG Chenghu;HE Liguo(School of Science,Shenyang University of Technology,Shenyang,Liaoning 110870)

机构地区：[1]沈阳工业大学理学院,辽宁沈阳110870

出　　处：《绍兴文理学院学报》2023年第8期32-37,共6页Journal of Shaoxing University

基　　金：国家自然科学基金项目“有限群的特征标余次数”(12171058).

摘　　要：针对循环群被极大类群中心扩张的问题,在极大类2群2次中心扩张的基础上,继续探讨不同阶的循环群被极大类2群中心扩张的情况.设N为4阶循环群,H为极大类2群,G为N被H的中心扩张,给出此时G的分类.In response to the problem of central extension of cyclic groups by maximal class groups,and based on the second central extension of the maximal class 2-groups,the paper continues to explore the situation that the central extension of cyclic groups of different orders is caused by maximal class 2-groups.It then classifies the groups obtained by the central extensions of N by H,where N are cyclic groups of order 4 and H are maximal class 2-groups.

关 键 词：循环群 极大类2群 中心扩张 

分 类 号：O152[理学—数学]