Branch groups
Branch groups
复制标题
分支组
DOI：
10.1007/bf02675625
复制
发表时间：
2005
影响因子：
0.6
通讯作者：
Zoran Sunik
中科院分区：
文献类型：
--
作者：
L. Bartholdi;R. Grigorchuk;Zoran Sunik
定义了分支群的类（在抽象范畴和profinite范畴中）。建立了该类与极值群类的关系。研究了分支群的性质。指出了同余性质在有限分支群理论中的应用。证明了分支群中抛物子群的弱极大性。
The class of branch groups is defined (both in the abstract and in the profinite category). The relationship of this class with the class of extremal groups is established. Properties of the branch groups are investigated. Applications of the congruence property to the theory of profinite branch groups are indicated. The weak maximality of parabolic subgroups in branch groups is proved.