Surface subgroups of graphs of free groups
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About this item
Description: |
Wilton, H
Wednesday 21st June 2017 - 11:30 to 12:30 |
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Created: | 2017-07-19 15:03 |
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Collection: | Non-Positive Curvature Group Actions and Cohomology |
Publisher: | Isaac Newton Institute |
Copyright: | Wilton, H |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | 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. |
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WebM * | 640x360 | 888.58 kbits/sec | 347.54 MB | View | Download | |
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