We show that two free actions of a finite abelian group (of orientation preserving homeomorphisms) on a handlebody are equivalent. Moreover, the free genus of such a group is determined. Ophrations libres de groupes abbliens finis sur des bretaels ## R&urn& Duns cette Note, on demontre que deux
A remark about actions of lattices on free groups
β Scribed by Martin R. Bridson; Benson Farb
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 44 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
β¦ Synopsis
Every homomorphism from an irreducible, noncocompact lattice in a higher-rank semisimple Lie group to the outer automorphism group of a free group must have a finite image.
π SIMILAR VOLUMES
We show that any finite group can act freely on a rational homology 3-sphere.
We show that if G is a definably compact, definably connected definable group defined in an arbitrary o-minimal structure, then G is divisible. Furthermore, if G is defined in an o-minimal expansion of a field, k β N and p k : G -β G is the definable map given by p k (x) = x k for all x β G, then we