• Corpus ID: 246867526

Proper proximality for various families of groups

@inproceedings{Ding2021ProperPF,
  title={Proper proximality for various families of groups},
  author={Changying Ding and Srivatsav Kunnawalkam Elayavalli},
  year={2021}
}
In this paper, the notion of proper proximality (introduced in [BIP18]) is studied and classified in various families of groups. We show that if a group acts non-elementarily by isometries on a tree such that for any two edges, the intersection of their edge stabilizers is finite, then G is properly proximal. We show that the wreath product G ≀ H is properly proximal if and only if H is non-amenable. We then completely classify proper proximality among graph products of non-trivial groups. Our… 
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