Curve Complexes and Finite Index Subgroups of Mapping Class Groups
By Jason A. Behrstock, Dany Margalit. 2005
62 citations recorded by the source corpus.
Let Mod(S) be the extended mapping class group of a surface S. For S the twice-punctured torus, we show that there exists an isomorphism of finite index subgroups of Mod(S) which is not the restriction of any inner automorphism. For S a torus with at least three punctures, we show that every injection of a finite index subgroup of Mod(S) into Mod(S) is the restriction of an inner automorphism of Mod(S); this completes a program begun by Irmak. We also establish the co-Hopf property for finite index subgroups of Mod(S).
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e512c9967f04d2a72ee12a18ce6dc9c96dbf623f
How researchers see this paper
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In Geometry and Topology
- Jason A. Behrstock
- Alessandro Sisto
- Mark F. Hagen
- Anthony Genevois
- Hung Cong Tran
- Cornelia Drutu
- Johanna Mangahas
- H. Masur
In Mathematical Physics
- Jason A. Behrstock
- Alessandro Sisto
- Mark F. Hagen
- Anthony Genevois
- Hung Cong Tran
- Johanna Mangahas
- Cornelia Drutu
- H. Masur
Citations in the corpus
- Asymptotic Geometry of the Mapping Class Group and Teichmuller Space (2005, methodology): “For other applications see: Behrstock and Margalit [5], Bestvina and Fujiwara [7], Bowditch [11], Hempel [29], Irmak [32] and Margalit [40].”
- Injections of Artin groups (2005, unknown): “G R ] 1 7”