Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Elementary embeddings in torsion-free hyperbolic groups

Chloé Perin — 2011

Annales scientifiques de l'École Normale Supérieure

We describe first-order logic elementary embeddings in a torsion-free hyperbolic group in terms of Sela’s hyperbolic towers. Thus, if H embeds elementarily in a torsion free hyperbolic group Γ , we show that the group Γ can be obtained by successive amalgamations of groups of surfaces with boundary to a free product of  H with some free group and groups of closed surfaces. This gives as a corollary that an elementary subgroup of a finitely generated free group is a free factor. We also consider the...

Page 1

Download Results (CSV)