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Homeomorphism types of Floyd boundaries of infinite-ended groups

Group Theory 2024-01-02 v1

Abstract

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

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Cite

@article{arxiv.2401.00147,
  title  = {Homeomorphism types of Floyd boundaries of infinite-ended groups},
  author = {Subhajit Chakraborty and Ravi Tomar},
  journal= {arXiv preprint arXiv:2401.00147},
  year   = {2024}
}

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21 pages