A New Class of Generalized Thompson's Groups and Their Normal Subgroups

被引：8
|
作者：
Tanushevski, Slobodan [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21941909 Rio De Janeiro, RJ, Brazil
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 10期
关键词：
Generalized Thompson's groups; Thompson's groups; 20F65; 20E07;
D O I：
10.1080/00927872.2015.1087552
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a given group G and a homomorphism phi: GGxG, we construct groups F-phi(G), (phi)(G), and ?(phi)(G) that blend Thompson's groups F, T, and V with G, respectively. Furthermore, we describe the lattice of normal subgroups of the groups F(G), where : GGxG is the diagonal homomorphism, (g)=(g, g).
引用
收藏
页码：4378 / 4410
页数：33
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