Generalizing Bestvina-Brady groups using branched covers
Duration: 1 hour 4 mins
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About this item
| Description: |
Leary, I (University of Southampton)
Thursday 26th January 2017 - 10:00 to 12:00 |
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| Created: | 2017-02-01 16:58 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Leary, I |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In the 1990's Bestvina and Brady constructed groups that are FP but not finitely presented as the kernels of maps from right-angled Artin groups to Z. I generalize this construction using branched coverings. The main application is an uncountable family of groups of type FP. A corollary is that every countable group embeds in a group of type FP_2. I will explain the construction, and if time permits I will discuss the corollary and work with Ignat Soroko and Robert Kropholler on the quasi-isometry classification of the new groups.
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