• Corpus ID: 244488706

Hurwitz groups, maximal reducible groups and maximal handlebody groups

@inproceedings{Zimmermann2021HurwitzGM,
  title={Hurwitz groups, maximal reducible groups and maximal handlebody groups},
  author={Bruno Zimmermann},
  year={2021}
}
. A Hurwitz group is a finite group of orientation-preserving diffeomorphisms of maximal possible order 84( g − 1) of a closed orientable surface of genus g > 1. A maximal handlebody group instead is a group of orientation-preserving diffeomorphisms of maximal possible order 12( g − 1) of a 3-dimensional handlebody of genus g > 1. We consider the question of when a Hurwitz group acting on a surface of genus g contains a subgroup of maximal possible order 12( g − 1) extending to a handlebody (or… 

References

SHOWING 1-10 OF 23 REFERENCES
Extending finite group actions from surfaces to handlebodies
We show that every action of a finite dihedral group on a closed orientable surface F extends to a 3-dimensional handlebody V , with ∂V = F . In the case of a finite abelian group G, we give
Extending finite group actions on surfaces to hyperbolic 3-manifolds
Let G be a finite group of orientation preserving isometrics of a closed orientable hyperbolic 2-manifold F g of genus g > 1 (or equivalently, a finite group of conformal automorphisms of a closed
Large groups of symmetries of handlebodies
Let Vg be an orientable three-dimensional handlebody with genus g > 1. Let N(g) be the largest order among all finite groups which act effectively on Vg and preserve orientation. We show that 4(g +
The equivariant Dehn's lemma and loop theorem
In [4] the authors observed that the topological methods in the theory of three-dimensional manifolds can be modified to settle some old problems in the classical theory of minimal surfaces in
Finite group actions on the genus-2 surface, geometric generators and extendability
  • Rend. Istit. Mat. Univ. Trieste
  • 2020
...
1
2
3
...