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Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces / F. Dahmani, V. Guirardel and D. Osin.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 245, no 1156.Publication details: Providence : American Mathematical Society, 2017.Description: v, 152 pages : illustrations ; 26 cmISBN:
  • 9781470421946 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction -- 2. Main results -- 3. Preliminaries -- 4. Generalizing relative hyperbolicity -- 5. Very rotating families -- 6. Examples -- 7. Dehn filling -- 8. Applications -- 9. Some open problems.
Summary: Introduces and studies the notions of hyperbolically embedded and very rotating families of subgroups. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes.
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Includes bibliographical references and index.

1. Introduction --
2. Main results --
3. Preliminaries --
4. Generalizing relative hyperbolicity --
5. Very rotating families --
6. Examples --
7. Dehn filling --
8. Applications --
9. Some open problems.

Introduces and studies the notions of hyperbolically embedded and very rotating families of subgroups. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes.

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