𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A remark about actions of lattices on free groups

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Free actions of finite abelian groups on
✍ Marcus Wanderley πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 452 KB

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 on divisibility of definable gr
✍ MΓ‘rio J. Edmundo πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 89 KB

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 ∈ N and p k : G -β†’ G is the definable map given by p k (x) = x k for all x ∈ G, then we