Peripheral Splittings of Groups

@inproceedings{Bowditch2001PeripheralSO,
  title={Peripheral Splittings of Groups},
  author={Brian H. Bowditch},
  year={2001}
}
We define the notion of a “peripheral splitting” of a group. This is essentially a representation of the group as the fundamental group of a bipartite graph of groups, where all the vertex groups of one colour are held fixed—the “peripheral subgroups”. We develop the theory of such splittings and prove an accessibility result. The theory mainly applies to relatively hyperbolic groups with connected boundary, where the peripheral subgroups are precisely the maximal parabolic subgroups. We show… CONTINUE READING
Highly Cited
This paper has 17 citations. REVIEW CITATIONS

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Folding sequences, in “The Epstein Birthday Schrift”, Geometry and Topology Monographs Volume 1, (ed

  • M. J. Dunwoody
  • MR 2000f:20037
  • 2003

A cutpoint tree for a continuum, in “Computational and Geometric Aspects of Modern Algebra

  • E. L. Swenson
  • London Math. Soc. Lecture Note Series,
  • 2000

Treelike structures arising from continua and convergence groups

  • B. H. Bowditch
  • Memoirs Amer. Math. Soc. No. 662,
  • 1999

Conical limit points and uniform convergence groups

  • P. Tukia
  • J. Reine. Angew. Math
  • 1998

Constructing a splitting-tree for a cusp-finite group acting on a Peano continuum (Hebrew) : M.Sc

  • D. P. Guralnik
  • 1998

Cut points and canonical splittings of hyperbolic groups

  • B. H. Bowditch
  • Acta. Math
  • 1998

Geometrical finiteness with variable negative curvature

  • B. H. Bowditch
  • Duke Math. J
  • 1995

Complexes of groups and orbihedra, in “Group theory from a geometrical viewpoint

  • A. Haefliger
  • World Scientific
  • 1991

Similar Papers

Loading similar papers…