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Relatively hyperbolic groups : intrinsic geometry, algebraic properties, and algorithmic problems /
In this paper we obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows us to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2006.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 843. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Osin, Denis V., |d 1974- |1 https://id.oclc.org/worldcat/entity/E39PCjJJ6F4cvFGM6hycxBhQC3 | |
| 245 | 1 | 0 | |a Relatively hyperbolic groups : |b intrinsic geometry, algebraic properties, and algorithmic problems / |c Denis V. Osin. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2006. | ||
| 300 | |a 1 online resource (vi, 100 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 843 | |
| 500 | |a "Volume 179, number 843 (second of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 97-100). | ||
| 505 | 1 | 0 | |g 1. |g Introduction -- |g 2. |t Relative isoperimetric inequalities -- |g 3. |t Geometry of finitely generated relatively hyperbolic groups -- |g 4. |t Algebraic properties -- |g 5. |t Algorithmic problems. |
| 520 | 3 | |a In this paper we obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows us to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric properties of ordinary hyperbolic groups. We also introduce and study the notion of a relatively quasi-convex subgroup of a relatively hyperbolic group and solve some natural algorithmic problems. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometric group theory. | |
| 650 | 0 | |a Hyperbolic groups. | |
| 650 | 6 | |a Théorie géométrique des groupes. | |
| 650 | 6 | |a Groupes hyperboliques. | |
| 650 | 7 | |a Geometric group theory |2 fast | |
| 650 | 7 | |a Hyperbolic groups |2 fast | |
| 758 | |i has work: |a Relatively hyperbolic groups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGGFhdXdjpD9XrKy7j6hH3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Osin, Denis V., 1974- |t Relatively hyperbolic groups. |d Providence, R.I. : American Mathematical Society, 2006 |z 0821838210 |w (DLC) 2005053663 |w (OCoLC)61704825 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 843. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114210 |z Texto completo |
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