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Homeomorphism types of Floyd boundaries of infinite-ended groups

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arxiv 2401.00147 v1 pith:5XTULOYS submitted 2023-12-30 math.GR

classification math.GR
keywords floydgroupsboundarygroupmathcaltopologyboundariesdecomposition
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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 $\mathcal G$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the connectedness of the boundary of hierarchically hyperbolic spaces

    math.GR 2025-08 conditional novelty 7.0 of 10

    For hierarchically hyperbolic groups, the boundary is connected if and only if the group is one-ended, and free product boundaries are characterized by factor boundaries.

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