Finite groups whose cyclic subnormal subgroups are permutable

被引:8
|
作者
Robinson, DJS [1 ]
机构
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
关键词
subnormal cyclic subgroup; permutable;
D O I
10.1142/S1005386705000167
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Finite groups in which each cyclic subnormal subgroup is Sylow-permutable, permutable or normal are investigated. Characterizations are found in both the soluble and insoluble cases.
引用
收藏
页码:171 / 180
页数:10
相关论文
共 50 条
  • [41] ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC
    ADYAN, SI
    LYSENOK, IG
    MATHEMATICS OF THE USSR-IZVESTIYA, 1992, 39 (02): : 905 - 957
  • [42] On permutable subgroups of finite groups II
    Li, YM
    Heliel, AA
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (09) : 3353 - 3358
  • [43] On weakly σ-permutable subgroups of finite groups
    Zhang, Chi
    Wu, Zhenfeng
    Guo, Wenbin
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 489 - 502
  • [44] Finite groups with permutable Hall subgroups
    Xia Yin
    Nanying Yang
    Frontiers of Mathematics in China, 2017, 12 : 1265 - 1275
  • [45] Finite Nilpotent Groups Whose Cyclic Subgroups are TI-Subgroups
    Alireza Abdollahi
    Hamid Mousavi
    Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1577 - 1589
  • [46] On Sylow permutable subgroups of finite groups
    Ballester-Bolinches, Adolfo
    Heineken, Hermann
    Spagnuolo, Francesca
    FORUM MATHEMATICUM, 2017, 29 (06) : 1307 - 1310
  • [47] Finite Nilpotent Groups Whose Cyclic Subgroups are TI-Subgroups
    Abdollahi, Alireza
    Mousavi, Hamid
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1577 - 1589
  • [48] ON SOLUBLE GROUPS WHOSE SUBNORMAL SUBGROUPS ARE INERT
    Dardano, Ulderico
    Rinauro, Silvana
    INTERNATIONAL JOURNAL OF GROUP THEORY, 2015, 4 (02) : 17 - 24
  • [49] On Groups whose Subnormal Abelian Subgroups are Normal
    Kurdachenko, L. A.
    Otal, J.
    Subbotin, I. Ya
    ADVANCES IN GROUP THEORY AND APPLICATIONS, 2022, 14 : 67 - 94
  • [50] SOLVABILITY OF GROUPS WHOSE SUBGROUPS ARE ALL SUBNORMAL
    MOHRES, W
    ARCHIV DER MATHEMATIK, 1990, 54 (03) : 232 - 235