ON TRIFACTORIZED SOLUBLE GROUPS OF FINITE RANK

被引：4

作者：

FRANCIOSI, S

DEGIOVANNI, F

机构：

[1] UNIV SALERNO,FAC SCI,IST MATEMAT,I-84100 SALERNO,ITALY

[2] NAPLES UNIV,DIPARTMENTO MATEMAT,I-80134 NAPLES,ITALY

来源：

GEOMETRIAE DEDICATA | 1991年 / 38卷 / 03期

关键词：

D O I：

10.1007/BF00181195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let the soluble-by-finite group G = AB = AC = BC be the product of two nilpotent subgroups A and B and a subgroup C. It is shown that, if G has finite abelian section rank and C is hypercentral (hypercyclic), then G is hypercentral (hypercyclic). Moreover, if G is an L 1-group and C is nilpotent, then G is nilpotent.

引用

页码：331 / 341

页数：11

共 50 条

[31] Groups with all subgroups either modular or soluble of finite rank
De Mari, Fausto
JOURNAL OF ALGEBRA, 2021, 570 : 416 - 436
[32] Remarks on Azarov's work on soluble groups of finite rank
Wehrfritz, B. A. F.
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2016, 9 (03): : 319 - 322
[33] IDEALS IN GROUP-RINGS OF SOLUBLE GROUPS OF FINITE RANK
BROOKES, CJB
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1985, 97 (JAN) : 27 - 49
[34] Groups with all proper subgroups soluble-by-finite rank
Dixon, MR
Evans, MJ
Smith, H
JOURNAL OF ALGEBRA, 2005, 289 (01) : 135 - 147
[35] Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank
Dixon, MR
Evans, MJ
Smith, H
ARCHIV DER MATHEMATIK, 1997, 68 (02) : 100 - 109
[36] Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank
Martyn R. Dixon
Martin J. Evans
Howard Smith
Archiv der Mathematik, 1997, 68 : 100 - 109
[37] ON RINGS OF QUOTIENTS OF GROUP-ALGEBRAS OF SOLUBLE GROUPS OF FINITE RANK
WEHRFRITZ, BAF
JOURNAL OF PURE AND APPLIED ALGEBRA, 1991, 74 (01) : 95 - 107
[38] ON GROUPS OF FINITE RANK
Wehrfritz, B. A. F.
PUBLICACIONS MATEMATIQUES, 2021, 65 (02) : 599 - 613
[39] Trifactorized locally finite groups with min-p for every prime p
Amberg, Bernhard
Fransman, Andrew
Kazarin, Lev
ARCHIV DER MATHEMATIK, 2009, 92 (06) : 558 - 565
[40] Trifactorized locally finite groups with min-p for every prime p
Bernhard Amberg
Andrew Fransman
Lev Kazarin
Archiv der Mathematik, 2009, 92 : 558 - 565

← 1 2 3 4 5 →