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Splittings of certain Fuchsian groups

Author(s): M. J. Dunwoody; M. Sageev
Journal: Proc. Amer. Math. Soc. 125 (1997), 1953-1954.
MSC (1991): Primary 20H10
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Abstract: We provide an explicit splitting of Fuchsian groups of type $(1;n)$ as free products with amalgamation.

References:

1.: M. Bestvina and M. Feighn, Bounding complexity of simplicial group actions on trees, Invent. Math. 103 (1991), 449-469. MR 92c:20044
2.: M. J. Dunwoody, Folding Sequences, Preprint, 1994.
3.: D. D. Long, C. MacLachlan, and A. W. Reid, Splittings of groups of signature (1;n), Preprint, 1994.
4.: G. Rosenberger, Bemerkung zu Einer Arbeit von H. Zeichang, Archiv der Math. 29 (1977), 623-637. MR 57:3259
5.: H. Zeichang, Über die Nielsensche Kürzungsmethode in Freien Producten mit Amalgam, Invent. Math. 10 (1970), 4-37.
6.: H. Zeichang, Surfaces and Planar Discontinuous Groups, Springer-Verlag, 1980.


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