Vol. 133, No. 1, 1988

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Groups of isometries of a tree and the Kunze-Stein phenomenon

Claudio Nebbia

Vol. 133 (1988), No. 1, 141–149
Abstract

In this paper we prove that every group of isometries of a homogeneous or semihomogeneous tree which acts transitively on the boundary of the tree is a Kunze-Stein group. From this, we deduce a weak Kunze-Stein property for groups acting simply transitively on a tree (in particular free groups on finitely many generators).

Mathematical Subject Classification 2000
Primary: 43A15
Secondary: 43A85
Milestones
Received: 1 September 1985
Revised: 15 July 1987
Published: 1 May 1988
Authors
Claudio Nebbia