Bowditch, B. H. (Brian Hayward), 1961- . (2009) Atoroidal surface bundles over surfaces. Geometric and Functional Analysis, Vol.19 (No.4). pp. 943-988. ISSN 1016-443X

Full text not available from this repository.

Abstract

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
ISSN:	1016-443X
Date:	December 2009
Volume:	Vol.19
Number:	No.4
Number of Pages:	46
Page Range:	pp. 943-988
Identification Number:	10.1007/s00039-009-0033-3
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/16851

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item