JournalsggdVol. 7, No. 1pp. 1–11

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

  • Laurent Bartholdi

    Georg-August-Universität Göttingen, Germany
(Self-)similar groups and the Farrell–Jones conjectures cover
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Abstract

We show that contracting self-similar groups satisfy the Farrel–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.

Cite this article

Laurent Bartholdi, (Self-)similar groups and the Farrell–Jones conjectures. Groups Geom. Dyn. 7 (2013), no. 1, pp. 1–11

DOI 10.4171/GGD/175