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EnglishIt is known that a finite 2-group acting on a Z_2-homology 3-sphere has at most ten conjugacy classes of involutions; the action of groups with the maximal number of conjugacy classes of involutions is strictly related to some questions concerning the representation of hyperbolic 3-manifolds as 2-fold branched coverings of knots. Using a low-dimensional approach we classify these maximal actions both from an algebraic and from a geometrical point of view.
| Titolo: | Maximal actions of finite 2-groups on $Bbb{Z}_2$ - homology 3-spheres |
| Autori: | |
| Data di pubblicazione: | 2004 |
| Stato di pubblicazione: | Pubblicato |
| Rivista: | |
| Abstract: | It is known that a finite 2-group acting on a Z_2-homology 3-sphere has at most ten conjugacy classes of involutions; the action of groups with the maximal number of conjugacy classes of involutions is strictly related to some questions concerning the representation of hyperbolic 3-manifolds as 2-fold branched coverings of knots. Using a low-dimensional approach we classify these maximal actions both from an algebraic and from a geometrical point of view. |
| Handle: | http://hdl.handle.net/11368/1696267 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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