Extending group actions on metric spaces
52 mins 37 secs,
404.32 MB,
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About this item
| Description: |
Osin, D
Thursday 22nd June 2017 - 16:00 to 17:00 |
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| Created: | 2017-07-19 15:17 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Osin, D |
| 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: | I will discuss the following natural extension problem for group actions: Given a group G, a subgroup H of G, and an action of H on a metric space, when is it possible to extend it to an action of the whole group G on a (possibly different) metric space? When does such an extension preserve interesting properties of the original action of H? We begin by formalizing this problem and present a construction of an induced action which behaves well when H is hyperbolically embedded in G. Moreover, we show that induced actions can be used to characterize hyperbolically embedded subgroups. |
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