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The profinite topology on any abstract group $G$ , is one such that the fundamental system of neighborhoods of the identity is given by all its subgroups of finite index. We say that a group $G$ has the Ribes-Zalesskii property of rank $k$ , or is RZ $_{k}$ with $k$ a natural number, if any product $H_{1} H_{2} \dots H_{k}$ of finitely generated subgroups $H_{1}, H_{2}, \dots, H_{k}$ is closed in the profinite topology on $G$ . And a group is said to have the Ribes-Zalesskii property or is RZ if it is RZ $_{k}$ for any natural number $k$ . In this paper we characterize groups...

The virtual Haken conjecture: Experiments and examples.

Dunfield, Nathan M., Thurston, William P. (2003)

Geometry & Topology

Displaying 1 – 6 of 6

The Birkhoff-Neumann Embedding of Relatively Free Groups

The cyclic subgroup separability of certain HNN extensions.

The fundamental groups of subsets of closed surfaces inject into their first shape groups.

The Profinite Completion of Certain Residually-Finite p-Groups.

The Ribes-Zalesskii property of some one relator groups

The virtual Haken conjecture: Experiments and examples.

Currently displaying 1 – 6 of 6