Convergence groups and seifert fibered 3-manifolds
β Scribed by Andrew Casson; Douglas Jungreis
- Publisher
- Springer-Verlag
- Year
- 1994
- Tongue
- English
- Weight
- 732 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0020-9910
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## Abstract We investigate the notion of complexity for finitely presented groups and the related notion of complexity for threeβdimensional manifolds. We give twoβsided estimates on the complexity of all the Milnor groups (the finite groups with free action on __S__^3^), as well as for all finite
We construct compact hyperbolic 3-manifolds with totally geodesic boundary, arbitrarily many of the same volume. The fundamental groups of these 3-manifolds are groups with one defining relation. Our main result is a classification of these manifolds up to homeomorphism, resp. isometry.