Atoroidal surface bundles over surfaces
Bowditch, B. H.. (2009) Atoroidal surface bundles over surfaces. Geometric and Functional Analysis, Vol.19 (No.4). pp. 943-988. ISSN 1016-443XFull text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00039-009-0033-3
A surface-by-surface group is an extension of a non-trivial orientable closed surface group by another such group. It is an open question as to whether every such group contains a free abelian subgroup of rank 2. We show that, for given base and fibre genera, all but finitely many isomorphism classes of surface-by-surface group contain such an abelian subgroup. This can be rephrased in terms of atoroidal surface bundles over surfaces, or in terms of purely loxodromic surface subgroups of the mapping class groups.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Geometric and Functional Analysis|
|Publisher:||Birkhaeuser Verlag AG|
|Official Date:||December 2009|
|Number of Pages:||46|
|Page Range:||pp. 943-988|
|Access rights to Published version:||Restricted or Subscription Access|
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