Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces / F. Dahmani, V. Guirardel, D. Osin.
Saved in:
| Online Access: |
Full Text (via ProQuest) |
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| Main Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Series: | Memoirs of the American Mathematical Society ;
no. 1156. |
| Subjects: |
| Abstract: | "We introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for developing a geometric version of small cancellation theory. Examples of such families naturally occur in groups acting on hyperbolic spaces including hyperbolic and relatively hyperbolic groups, mapping class groups, Out(Fn), and the Cremona group. Other examples can be found among groups acting geometrically on CAT(0) spaces, fundamental groups of graphs of groups, etc. We obtain a number of general results about rotating families and hyperbolically embedded subgroups; although our technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes. For instance, we solve two open problems about mapping class groups, and obtain some results which are new even for relatively hyperbolic groups."--Page v. |
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| Item Description: | "Volume 245 - Number 1156 (first of 6 numbers) - January 2017." |
| Physical Description: | 1 online resource (v, 152 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 143-149) and index. |
| ISBN: | 9781470436018 1470436019 1470421941 9781470421946 |
| ISSN: | 0065-9266 ; |
| Source of Description, Etc. Note: | Online resource (viewed 7 DEC 2016) |