On finite solvable groups in which normality is a transitive relation

被引:89
|
作者
Bianchi, M
Mauri, AGB
Herzog, M
Verardi, L
机构
[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy
[2] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
[3] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy
关键词
D O I
10.1515/jgth.2000.012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are normal. We also characterize finite groups all of whose subgroups are either normal or self-normalizing.
引用
收藏
页码:147 / 156
页数:10
相关论文
共 50 条
  • [1] Finite solvable groups in which semi-normality is a transitive relation
    Ballester-Bolinches A.
    Beidleman J.C.
    Feldman A.D.
    Heineken H.
    Ragland M.F.
    [J]. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, 54 (2): : 549 - 558
  • [2] Finite groups in which normality is a transitive relation
    Asaad, M
    Heliel, AA
    [J]. ARCHIV DER MATHEMATIK, 2001, 76 (05) : 321 - 325
  • [3] Finite groups in which normality is a transitive relation
    M. Asaad
    A.A. Heliel
    [J]. Archiv der Mathematik, 2001, 76 : 321 - 325
  • [4] Finite Solvable Groups in Which theQuasinormality of Subgroups is a Transitive Relation
    Wang, Zhigang
    Guo, Wenbin
    Safonova, I. N.
    Skiba, A. N.
    [J]. MATHEMATICAL NOTES, 2023, 114 (5-6) : 1021 - 1028
  • [5] GROUPS IN WHICH NORMALITY IS TRANSITIVE RELATION
    ROBINSON, DJ
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (01): : 21 - &
  • [6] ON GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION
    Russo, Alessio
    [J]. COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3950 - 3954
  • [7] Groups in which normality is a weakly transitive relation
    Romano, Emanuela
    Vincenzi, Giovanni
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (01)
  • [8] Uncountable groups in which normality is a transitive relation
    De Falco, M.
    De Giovanni, F.
    Musella, C.
    Sysak, Y. P.
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019, 29 (04) : 627 - 638
  • [9] Finite groups in which normality or quasinormality is transitive
    M. Asaad
    [J]. Archiv der Mathematik, 2004, 83 : 289 - 296
  • [10] Finite groups in which normality or quasinormality is transitive
    Asaad, M
    [J]. ARCHIV DER MATHEMATIK, 2004, 83 (04) : 289 - 296