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Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces /

"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 geomet...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dahmani, F. (François), 1973- (Autor), Guirardel, V. (Vincent), 1973- (Autor), Osin, Denis V., 1974- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1156.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Dahmani, F.  |q (François),  |d 1973-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjqyhmGtFFbb36vmmqVqYq 
245 1 0 |a Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces /  |c F. Dahmani, V. Guirardel, D. Osin. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2017. 
264 4 |c ©2016 
300 |a 1 online resource (v, 152 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 245, number 1156 
588 0 |a Online resource (viewed 7 DEC 2016). 
500 |a "Volume 245 - Number 1156 (first of 6 numbers) - January 2017." 
504 |a Includes bibliographical references (pages 143-149) and index. 
520 3 |a "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 
505 0 0 |t Chapter 1. Introduction  |t Chapter 2. Main results  |t Chapter 3. Preliminaries  |t Chapter 4. Generalizing relative hyperbolicity  |t Chapter 5. Very rotating families  |t Chapter 6. Examples  |t Chapter 7. Dehn filling  |t Chapter 8. Applications  |t Chapter 9. Some open problems. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Hyperbolic spaces. 
650 0 |a Hyperbolic groups. 
650 6 |a Espaces hyperboliques. 
650 6 |a Groupes hyperboliques. 
650 7 |a Hyperbolic groups  |2 fast 
650 7 |a Hyperbolic spaces  |2 fast 
700 1 |a Guirardel, V.  |q (Vincent),  |d 1973-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjBFRjKXd69x9PftYX3D9C 
700 1 |a Osin, Denis V.,  |d 1974-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjJJ6F4cvFGM6hycxBhQC3 
710 2 |a American Mathematical Society,  |e publisher. 
776 0 8 |i Print version:  |a Dahmani, F. (François), 1973-  |t Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces.  |d Providence, Rhode Island : American Mathematical Society, 2017  |z 9781470421946  |w (DLC) 2016053199  |w (OCoLC)961159369 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1156. 
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