Large characteristic subgroups in which normality is a transitive relation

被引：3
|
作者：
de Giovanni, Francesco [1 ]
Trombetti, Marco [1 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, I-80126 Naples, Italy
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2019年 / 30卷 / 02期
关键词：
Characteristic subgroup; F-characteristic class; T-group;
D O I：
10.4171/RLM/846
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is known that if a group contains an abelian subgroup of finite index, then it also has an abelian characteristic subgroup of finite index. The aim of this paper is to study the corresponding question when abelian subgroups are replaced by subgroups in which normality is a transitive relation.
引用
收藏
页码：255 / 268
页数：14
相关论文
共 50 条
  • [1] GROUPS IN WHICH NORMALITY IS TRANSITIVE RELATION
    ROBINSON, DJ
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (01): : 21 - &
  • [2] ON GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION
    Russo, Alessio
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3950 - 3954
  • [3] A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION
    De Giovanni, Francesco
    Trombetti, Marco
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 95 (01) : 38 - 47
  • [4] Groups with many subgroups having a transitive normality relation
    De Falco, M
    de Giovanni, F
    BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2000, 31 (01): : 73 - 80
  • [5] Finite groups in which normality is a transitive relation
    Asaad, M
    Heliel, AA
    ARCHIV DER MATHEMATIK, 2001, 76 (05) : 321 - 325
  • [6] On groups with many subgroups satisfyinga transitive normality relation
    Russo, Alessio
    Viscusi, Mario
    NOTE DI MATEMATICA, 2024, 44 (01):
  • [7] Groups in which normality is a weakly transitive relation
    Romano, Emanuela
    Vincenzi, Giovanni
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (01)
  • [8] Groups with many subgroups having a transitive normality relation
    Maria De Falco
    Francesco de Giovanni
    Boletim da Sociedade Brasileira de Matemática, 2000, 31 (1): : 73 - 80
  • [9] 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
  • [10] Finite groups in which normality is a transitive relation
    M. Asaad
    A.A. Heliel
    Archiv der Mathematik, 2001, 76 : 321 - 325
12345