Homeomorphism types of Floyd boundaries of infinite-ended groups

Abstract

Suppose $G$ is a finitely generated infinite group, and $\mathcal{G}$ is a graph of groups decomposition of $G$ such that the edge groups are finite. This paper establishes that the topology of the Floyd boundary of $G$ is uniquely determined by the topology of the Floyd boundary of each vertex group of $\mathcal{G}$.

21 pages