Kim, Soo Hwan

Kim, Yangkok

We introduce a family of orientable 3-manifolds induced by certain cyclically presented groups and show that this family of 3-manifolds contains all Dunwoody 3-manifolds by using the planar graphs corresponding to the polyhedral description of the 3-manifolds. As applications, we consider two families of cyclically presented groups, and show that these are isomorphic to the fundamental groups of the certain Dunwoody 3-manifolds D_n(n≥2) which are the n-fold cyclic coverings of the 3-sphere branched over the certain two-bridge knots, and that D_n is the (Z_n⊕Z_2)-fold covering of the 3-sphere branched over two different Θ-curves

Osaka University Knowledge Archive

ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

http://ir.library.osaka-u.ac.jp/dspace/bitstream/11094/25088/1/ojm50_02_457.pdf

ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

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