Separable subsets of GFERF negatively curved groups
Separable subsets of GFERF negatively curved groups
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GFERF 负弯曲组的可分离子集
DOI：
10.1016/j.jalgebra.2006.03.050
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发表时间：
2005
影响因子：
0.9
通讯作者：
A. Minasyan
中科院分区：
文献类型：
--
作者：
A. Minasyan
一个字双曲群G称为GFERF，如果每个拟凸子群都与包含它的有限指数子群的交重合.我们证明了在任何这样的群中，n个拟凸子群的乘积在G上的profinite拓扑中是闭的.
A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on G.