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

Mattia Mecchia. "Maximal actions of finite 2-groups on ℤ₂-homology 3-spheres." Fundamenta Mathematicae 184.1 (2004): 205-221. <http://eudml.org/doc/283182>.

@article{MattiaMecchia2004,
abstract = {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.},
author = {Mattia Mecchia},
journal = {Fundamenta Mathematicae},
keywords = {finite actions; -homology manifolds; 2-fold coverings knots; orbifolds},
language = {eng},
number = {1},
pages = {205-221},
title = {Maximal actions of finite 2-groups on ℤ₂-homology 3-spheres},
url = {http://eudml.org/doc/283182},
volume = {184},
year = {2004},
}

TY - JOUR
AU - Mattia Mecchia
TI - Maximal actions of finite 2-groups on ℤ₂-homology 3-spheres
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 205
EP - 221
AB - 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.
LA - eng
KW - finite actions; -homology manifolds; 2-fold coverings knots; orbifolds
UR - http://eudml.org/doc/283182
ER -