# Proper proximality for groups acting on trees

@inproceedings{Ding2021ProperPF, title={Proper proximality for groups acting on trees}, author={Changying Ding and Srivatsav Kunnawalkam Elayavalli}, year={2021} }

In this paper, the notion of proper proximality (introduced in [BIP18]) is studied for various families of groups that act on trees. We show that if a group acts nonelementarily 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 then provide a complete classification result for proper proximality among graph products of non-trivial groups, generalizing recent work of Duchesne, Tucker-Drob and Wesolek… Expand

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