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Publisher: Cambridge University Press
Languages: English
Types: Article
Subjects: QA
We show that, for finitely generated groups, the property of admitting a coarse median structure is preserved under relative hyperbolicity.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [BaH] H.-J. BANDELT and J. HEDLIKOVA. Median algebras. Discrete Math. 45 (1983), 1-30.
    • [BeM] J. A. BEHRSTOCK and Y. N. MINSKY. Centroids and the rapid decay property in mapping class groups. Preprint (2008).
    • [Bo1] B. H. BOWDITCH. Relatively hyperbolic groups. To appear in Internat. J. Algebra Comput.
    • [Bo2] B. H. BOWDITCH. Coarse median spaces and groups. To appear in Pacific J. Math.
    • [Bo3] B. H. BOWDITCH. Embedding median algebras in products of trees. Preprint, Warwick (2011).
    • [BrH] M. BRIDSON and A. HAEFLIGER. Metric spaces of non-positive curvature. Grundlehren der Math. Wiss. No. 319 (Springer 1999). [F] B. FARB. Relatively hyperbolic groups. Geom. Funct. Anal. 8 (1998), 810-840.
    • [GhH] E. GHYS and P. DE LA HARPE (eds.). Sur les groupes hyperboliques d'apre`s Mikhael Gromov. Prog. Math. 83 (Birkha¬®user 1990). [Gr] M. GROMOV. Hyperbolic groups. In Essays in Group Theory. Math. Sci. Res. Inst. Publ. No. 8 (Springer 1987), 75-263. [O] D. V. OSIN. Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems. Mem. Amer. Math. Soc. 179 (2006). [R] M. A. ROLLER. Poc-sets, median algebras and group actions, an extended study of Dunwoody's construction and Sageev's theorem. Habilitationschrift (Regensberg, 1998).
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