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

页码：255 / 268

页数：14

共 50 条

[21] Generalizations of groups in which normality is transitive
Ragland, Matthew F.
COMMUNICATIONS IN ALGEBRA, 2007, 35 (10) : 3242 - 3252
[22] Finite groups in which normality or quasinormality is transitive
M. Asaad
Archiv der Mathematik, 2004, 83 : 289 - 296
[23] SOME CHARACTERISATIONS OF GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION BY MEANS OF SUBGROUP EMBEDDING PROPERTIES
Esteban-Romero, Ramon
Vincenzi, Giovanni
INTERNATIONAL JOURNAL OF GROUP THEORY, 2018, 7 (02) : 9 - +
[24] Finite groups in which normality or quasinormality is transitive
Asaad, M
ARCHIV DER MATHEMATIK, 2004, 83 (04) : 289 - 296
[25] A NOTE ON FINITE GROUPS IN WHICH NORMALITY IS TRANSITIVE
ROBINSON, DJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (04) : 933 - &
[26] A NORMALITY RELATION ON THE LATTICE OF SUBGROUPS OF A GROUP
ZACHER, G
ANNALI DI MATEMATICA PURA ED APPLICATA, 1982, 131 : 57 - 73
[27] Finite groups in which normality, permutability or Sylow permutability is transitive
Malinowska, Izabela Agata
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (03): : 137 - 146
[28] Groups in which commutativity is a transitive relation
Wu, YF
JOURNAL OF ALGEBRA, 1998, 207 (01) : 165 - 181
[29] GROUPS WHOSE FINITE QUOTIENTS HAVE A TRANSITIVE NORMALITY RELATION
FRANCIOSI, S
DEGIOVANNI, F
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1992, 6B (02): : 329 - 350
[30] GROUPS WHOSE HOMOMORPHIC IMAGES HAVE A TRANSITIVE NORMALITY RELATION
ROBINSON, DJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) : 181 - 213

← 1 2 3 4 5 →