Residual finiteness of generalized free products of isomorphic groups

被引：0

作者：

Wong, PC

Tang, CK

机构：

来源：

ALGEBRA COLLOQUIUM | 1997年 / 4卷 / 02期

关键词：

generalized free product; polygonal product; tree product; residually finite; potent; cyclic subgroup separable group (pi(c)-group);

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a necessary and sufficient condition for an amalgamated free product of arbitrarily many isomorphic potent and cyclic subgroup-separable groups to be potent and cyclic subgroup-separable, respectively. We then apply our results to show that certain polygonal products of free groups are potent and cyclic subgroup-separable. Further applications are made to finite tree products of polycyclic-by-finite groups and free-by-finite groups.

引用

页码：133 / 139

页数：7