Splitting Properties of Hyper-(Rank One) Groups

被引：0
|
作者：
de Giovanni, Francesco [1 ]
Newell, Martin L. [2 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, Naples, Italy
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
ADVANCES IN GROUP THEORY AND APPLICATIONS | 2016年 / 1卷
关键词：
hyper-(rank one) group; splitting theorem;
D O I：
10.4399/97888548908178
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group G is said to be an H-1-group (a P-1-group, respectively) if it has an ascending (finte, respectively) normal series whose factors have rank 1. Some splitting and conjugacy theorems for groups with an H-1 (or a P-1)-homomorphic image are proved.
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页码：113 / 129
页数：17
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