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

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