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Preprint Number 148
148. A. Ould Houcine Superstable groups acting on trees E-mail: Submission date: 30 November 2008. Abstract: We study superstable groups acting on trees. We prove that an action
of an ω-stable group on a simplicial tree is trivial. This
shows that an HNN-extension or a nontrivial free product with
amalgamation is not ω-stable. It is also shown that if G is
a superstable group acting nontrivially on a Λ-tree, where
Λ= Mathematics Subject Classification: 03C99;20F65;20E08 Keywords and phrases: Groups, Superstable groups, actions on trees, free product with amalgamation, HNN-extension. |

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