Moyennabilite interieure et extensions HNN
Abstract
Description
We present sufficient conditions for HNN extensions to be inner amenable, respectively ICC, which give necessary and sufficient criteria among Baumslag-Solitar groups. We deduce that such a group, viewed as acting on its Bass-Serre tree, contains non trivial elements which fix unbounded subtrees.
16 pages, in french. Slightly stronger results and typographic corrections. To appear in Ann. Inst. Fourier (Grenoble)
16 pages, in french. Slightly stronger results and typographic corrections. To appear in Ann. Inst. Fourier (Grenoble)