On finite groups with cyclic Abelian subgroups

被引:0
|
作者
Maznichenko S.V. [1 ]
机构
[1] Ukrainian Pedagogic University, Kiev
关键词
Finite Group; Nilpotent Group; Abelian Subgroup; Solvable Group; Proper Subgroup;
D O I
10.1007/BF02514337
中图分类号
学科分类号
摘要
Solvable and minimal unsolvable finite groups with cyclic Abelian subgroups are constructively described. © 1999 Kluwer Academic/Plenum Publishers.
引用
收藏
页码:839 / 841
页数:2
相关论文
共 50 条
  • [1] Finite abelian groups with isomorphic inclusion graphs of cyclic subgroups
    Gharibbolooki, Zahra
    Jafari, Sayyed Heidar
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2025, 10 (01) : 165 - 180
  • [2] THE NUMBER OF CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON'S IDENTITY
    Tarnauceanu, Marius
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (02) : 201 - 206
  • [3] On the number of subgroups of finite abelian groups
    G. Bhowmik
    H. Menzer
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1997, 67 : 117 - 121
  • [4] Isolated Subgroups of Finite Abelian Groups
    Tarnauceanu, Marius
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2022, 72 (02) : 615 - 620
  • [5] Isolated subgroups of finite abelian groups
    Marius Tărnăuceanu
    Czechoslovak Mathematical Journal, 2022, 72 : 615 - 620
  • [6] Finite groups with independent abelian subgroups
    Zhurtov, A. Kh.
    Tsirkhov, A. A.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (04): : 88 - 91
  • [7] ON GROUPS WITH ABELIAN BY FINITE PROPER SUBGROUPS
    BRUNO, B
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1984, 3B (03): : 797 - 807
  • [8] CHARACTERISTIC SUBGROUPS OF FINITE ABELIAN GROUPS
    Kerby, Brent L.
    Rode, Emma
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (04) : 1315 - 1343
  • [9] On the number of subgroups of finite Abelian groups
    Bhowmik, G
    Menzer, H
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1997, 67 (1): : 117 - 121
  • [10] FINITE p-GROUPS AND CENTRALIZERS OF NON-CYCLIC ABELIAN SUBGROUPS
    Wang, J.
    Guo, X.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (01): : 171 - 192