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arXiv 2011-07-26 DOI 10.4171/GGD/175 0 views

(Self-)similar groups and the Farrell-Jones conjectures

Bartholdi, Laurent

Original · EN

We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular to bounded self-similar groups. We define, along the way, a general notion of contraction for groups acting on a rooted tree in a not necessarily self-similar manner.

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