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A New Combination Theorem for Relatively Hyperbolic Groups

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초록

We prove a new combination theorem for relatively hyperbolic groups by analyzing diagrams over HNN-extensions of relatively hyper- bolic groups.

Abstract

We prove a new combination theorem for relatively hyperbolic groups by analyzing diagrams over HNN-extensions of relatively hyper- bolic groups.

참고문헌 (4)

  1. F. Dahmani, "Combination of convergence groups", Geom. and Topol, 7, pp.933~963 (2003)
  2. R. C. Lyndon, "Combinatorial group theory" (1977), Springer-Verlag
  3. D. Osin, "Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and al-gorithmic problems", Memoirs Amer. Math. Soc, 179(843), pp.vi~ (2006)
  4. D. Osin, "Relative Dehn funtions of amalgamated products and HNN-extensions", Con-temp. Math, 394, pp.209~220 (2006)

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