一类多重循环群的宽度  

The breadth of a class of polycyclic groups

作　　者：雒晓良 刘合国 LUO Xiaoliang;LIU Heguo(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China;School of Science,Hainan University,Haikou 570228,China)

机构地区：[1]太原师范学院数学系,山西晋中030619 [2]海南大学理学院,海口570228

出　　处：《扬州大学学报（自然科学版）》2022年第6期1-4,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(12171142);山西省教育厅基金资助项目(2020L0518).

摘　　要：为深入了解多重循环群的性质,对一类2元生成多重循环群的宽度展开讨论,并利用所得结论给出这类多重循环群构成超可解群判定定理的简化证明.To understand the properties of polycyclic groups, this paper discusses the breadth of a class of two-generators polycyclic groups. The conclusion is used to give a simplified proof of the theorem for determining the formation of supersoluble groups of this kind of multiple cyclic groups.

关 键 词：多重循环群 群的宽度 B_(n)-群 超可解群 

分 类 号：O152.1[理学—数学]