Maximal actions of finite 2-groups on ℤ₂-homology 3-spheres

• Autorzy: Mattia Mecchia
• Języki publikacji: EN

Abstrakty

EN

It is known that a finite 2-group acting on a ℤ₂-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.

Kategorie tematyczne

• 57M12: Special coverings, e.g. branched
• 57M60: Group actions in low dimensions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 184
• Numer: 1
• Strony: 205-221

Daty

wydano

2004

Twórcy

autor

Mattia Mecchia

• Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Via A. Valerio 12/1, 34127 Trieste, Italy

Identyfikatory

DOI

10.4064/fm184-0-13