Mathematics – Group Theory
Scientific paper
2005-05-30
Mathematics
Group Theory
16 pages, in french. Slightly stronger results and typographic corrections. To appear in Ann. Inst. Fourier (Grenoble)
Scientific paper
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.
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