Finite groups in which normality is a transitive relation

被引：7
|
作者：
Asaad, M [1 ]
Heliel, AA [1 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
ARCHIV DER MATHEMATIK | 2001年 / 76卷 / 05期
关键词：
Finite Group; Quotient Group; Proper Subgroup; Transitive Relation; Subnormal Subgroup;
D O I：
10.1007/PL00000439
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group. We say that G is a T-0-group, if its Frattini quotient group G/Phi (G) is a T-group, where by a T-group rye mean a group in which every subnormal subgroup is normal. We determine the structure of a non T-0-group C all of whose propel subgroups are T-0-groups.
引用
收藏
页码：321 / 325
页数：5
相关论文
共 50 条
  • [1] Finite groups in which normality is a transitive relation
    M. Asaad
    A.A. Heliel
    Archiv der Mathematik, 2001, 76 : 321 - 325
  • [2] On finite solvable groups in which normality is a transitive relation
    Bianchi, M
    Mauri, AGB
    Herzog, M
    Verardi, L
    JOURNAL OF GROUP THEORY, 2000, 3 (02) : 147 - 156
  • [3] GROUPS IN WHICH NORMALITY IS TRANSITIVE RELATION
    ROBINSON, DJ
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (01): : 21 - &
  • [4] ON GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION
    Russo, Alessio
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3950 - 3954
  • [5] 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.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, 54 (2): : 549 - 558
  • [6] Groups in which normality is a weakly transitive relation
    Romano, Emanuela
    Vincenzi, Giovanni
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (01)
  • [7] Uncountable groups in which normality is a transitive relation
    De Falco, M.
    De Giovanni, F.
    Musella, C.
    Sysak, Y. P.
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019, 29 (04) : 627 - 638
  • [8] Finite groups in which normality or quasinormality is transitive
    M. Asaad
    Archiv der Mathematik, 2004, 83 : 289 - 296
  • [9] A NOTE ON FINITE GROUPS IN WHICH NORMALITY IS TRANSITIVE
    ROBINSON, DJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (04) : 933 - &
  • [10] Finite groups in which normality or quasinormality is transitive
    Asaad, M
    ARCHIV DER MATHEMATIK, 2004, 83 (04) : 289 - 296
12345