Please wait a minute...
浙江大学学报(理学版)  2020, Vol. 47 Issue (6): 677-680    DOI: 10.3785/j.issn.1008-9497.2020.06.004
数学与计算机科学     
有限群共轭类长度的一点注记
徐向阳1, 李样明2
1.南昌师范学院 数学与计算机科学系,江西 南昌 330032
2.广东第二师范学院 数学系,广东 广州 510310
A note on the length of conjugacy classes of finite group
XU Xiangyang1, LI Yangming2
1.Department of Mathmetics and Computer Science, Nanchang Normal University, Nanchang 330032, China
2.Department of Mathmetics,Guangdong University of Education, Guangzhou 510310, China
 全文: PDF(504 KB)   HTML  
摘要: 假设G=AB是子群AB的互相置换积。通过A?B中元素的共轭类长度给出了群G的结构,推广了一些最近的结论。
关键词: 互相置换积p-幂零群共轭类长度    
Abstract: Let a finite group G=AB be the product of the mutually permutable subgroups A and B.We give the structure of G by some conditions on the length of conjugacy classes of elements in A?B.Some recent results are extended.
Key words: mutually permutable product    the length of conjugacy class    p-nilpotent group
收稿日期: 2017-10-09 出版日期: 2020-11-25
CLC:  O152.1  
服务  
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章  
徐向阳
李样明

引用本文:

徐向阳, 李样明. 有限群共轭类长度的一点注记[J]. 浙江大学学报(理学版), 2020, 47(6): 677-680.

XU Xiangyang, LI Yangming. A note on the length of conjugacy classes of finite group. Journal of Zhejiang University (Science Edition), 2020, 47(6): 677-680.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2020.06.004        https://www.zjujournals.com/sci/CN/Y2020/V47/I6/677

1 BALLESTER-BOLINCHESA,ESTEBAN-ROMEROR,ASAADM.Products of Finite Groups[M].Berlin/NewYork: Walter de Gruyter,2010.
2 CHILLAGD,HERZOGM.On the length of the conjugacy classes of finite groups[J].J Algebra,1990,131(1): 110-125. DOI:10.1016/0021-8693(90)90168-n
3 COSSEYJ,WANGY M.Remarks on the length of conjugacy classes of finite groups[J].Comm Algebra,1999,27(9):4347-4353. DOI:10.1080/0092787990882 6701
4 LIUX L,WANGY M,WEIH Q.Notes on the length of conjugacy classes of finite groups[J].J Pure Appl Algebra,2005,196(1):111-117. DOI:10.1016/j.jpaa. 2004.08.020
5 QIANG H,WANGY M.On conjugacy class sizes and character degrees of finite groups[J].J Algebra Appl,2014,13(2): 1-8. DOI:10.1142/S0219498813501004
6 BALLESTER-BOLINCHESA,COSSEYJ,LIY M.Mutually permutable products and conjugacy classes[J].Monatsh Math,2013,170:305-310. DOI:10.1007/s00605-012-0411-z
7 FELIPEM J,MARTNEZ-PASTORA,ORTIZ-SOTOMAYORV M.Square-free class sizes in products of groups [J].J Algebra,2017,491:190-206. DOI:10.1016/j.jalgebra.2017.08.007
8 DOERKK,HAWKET.Finite Soluble Groups[M].Berlin/NewYork:Walter de Gruyter,1992. DOI:10.1515/9783110870138
[1] 谢凤艳. P2-阶子群X-ss-半置换的有限群[J]. 浙江大学学报(理学版), 2019, 46(6): 656-659.
[2] 周胜林. π-可解群的一个充分必要条件[J]. 浙江大学学报(理学版), 1999, 26(4): 50-53.