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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Surface subgroups of graphs of free groups

## Surface subgroups of graphs of free groupsAdd to your list(s) Download to your calendar using vCal - Henry Wilton (University of Cambridge)
- Wednesday 21 June 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. NPCW05 - Group actions and cohomology in non-positive curvature A well known question, usually attributed to Gromov, asks whether every hyperbolic group is either virtually free or contains a surface subgroup. I’ll discuss the answer to this problem for the class of groups in the title when the edge groups are cyclic. The main theorem is a result about free groups F which is of interest in its own right: whether of not an element w of F is primitive can be detected in the abelianizations of finite-index subgroup of F. I’ll also mention an application to the profinite rigidity of the free group. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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