Finite groups with a given set of Schmidt subgroups

被引:17
|
作者
Monakhov, VS [1 ]
机构
[1] GOMEL STATE UNIV, GOMEL, BELARUS
关键词
D O I
10.1007/BF02305002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain a description of finite groups all of whose Schmidt subgroups are either supersolvable or not supersolvable. In particular, we show that these groups are always solvable.
引用
收藏
页码:1183 / 1186
页数:4
相关论文
共 50 条
  • [41] Finite groups with semi-subnormal Schmidt subgroups
    Kniahina, V. N.
    Monakhov, V. S.
    ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (01): : 66 - 73
  • [42] On finite groups with Hall normally embedded Schmidt subgroups
    Kniahina, Viktoryia N.
    Monakhov, Victor S.
    ALGEBRA & DISCRETE MATHEMATICS, 2018, 26 (01): : 90 - 96
  • [43] Finite Groups with a System of Generalized Subnormal Schmidt Subgroups
    Yi, X.
    Li, M.
    Kamornikov, S. F.
    SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (01) : 76 - 82
  • [44] Finite groups with Hall subnormally embedded Schmidt subgroups
    Monakhov, Victor S.
    Kniahina, Viktoryia N.
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (02) : 668 - 675
  • [45] Finite groups with given properties of basic subgroups of fans of Sylow subgroups
    Vasilyeva, Tatsiana, I
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (01)
  • [47] The Number of Subgroups of a Given Type in Certain Finite Groups
    Shelash, Hayder Baqer
    Ashrafi, Ali Reza
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (02): : 73 - 87
  • [48] Structure of finite p-groups with given subgroups
    Berkovich, Yakov
    Janko, Zvonimir
    Ischia Group Theory 2004, Proceedings, 2006, 402 : 13 - 93
  • [49] Finite Groups with Given Systems of Conditionally Seminormal Subgroups
    A. A. Trofimuk
    Lobachevskii Journal of Mathematics, 2024, 45 (12) : 6624 - 6632
  • [50] Finite groups with K-F-subnormal Schmidt subgroups
    Hu, Bin
    Huang, Jianhong
    Song, Dou
    Safonova, Ina N.
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (10) : 4513 - 4518