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.
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页码：331 / 341
页数：11
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