紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2013, 50(2), p. 457-476

ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2013-06

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.

10.18910/25088

25088

ON THE GENERALIZED DUNWOODY 3-MANIFOLDS

Osaka University and Osaka City University, Departments of Mathematics

英語

2013-06

Osaka Journal of Mathematics

50

2

457

476

https://hdl.handle.net/11094/25088

10.18910/25088

https://doi.org/10.18910/25088