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The structure of groups with a quasiconvex hierarchy /
"This monograph weaves together fundamentals of Mikhail Leonidovich Gromov's hyperbolic groups with the theory of cube complexes dual to spaces with walls. Many fundamental new ideas and methodologies are presented here for the first time: A cubical small-cancellation theory generalizing i...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2021.
|
| Colección: | Annals of mathematics studies ;
Number 209 |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | JSTOR_on1195815511 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 200909s2021 nju ob 001 0 eng | ||
| 010 | |a 2020040294 | ||
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| 020 | |a 069121350X | ||
| 020 | |a 9780691213507 |q (electronic bk.) | ||
| 020 | |z 9780691170442 |q (hardback) | ||
| 020 | |z 9780691170459 |q (paperback) | ||
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| 035 | |a (OCoLC)1195815511 | ||
| 037 | |a 22573/ctv158nb04 |b JSTOR | ||
| 042 | |a pcc | ||
| 050 | 0 | 0 | |a QA174.2 |
| 072 | 7 | |a MAT |x 014000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 082 | 0 | 0 | |a 512/.2 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Wise, Daniel T., |d 1971- |e author. | |
| 245 | 1 | 4 | |a The structure of groups with a quasiconvex hierarchy / |c Daniel T. Wise. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2021. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies ; |v Number 209 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a "This monograph weaves together fundamentals of Mikhail Leonidovich Gromov's hyperbolic groups with the theory of cube complexes dual to spaces with walls. Many fundamental new ideas and methodologies are presented here for the first time: A cubical small-cancellation theory generalizing ideas from the 1960's, a version of "Dehn Filling" that works in the category of special cube complexes, and a variety of new results about right-angled Artin groups. The book culminates by providing an unexpected new theorem about the nature of hyperbolic groups that are constructible as amalgams. Among the stunning applications, are the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of R.J. Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, the book outlines the author's program towards the resolution of the most important remaining conjectures of William Thurston, and achieves substantial progress in this direction. This monograph, which is richly illustrated with over 100 drawings, will be of interest to graduate students and scholars working in geometry, algebra, and topology. This groundbreaking monograph, intended for the Annals of Math series, lays the mathematical groundwork for the solution of the Thurston-Haken Conjecture, a significant result in geometric group theory. It outlines one of the deepest and most surprising pieces of this result, which also has a variety of other implications for geometric group theory. This work also has applications to low-dimensional topology, and the results in this book have since been used by other mathematicians to provide other important results"-- |c Provided by publisher. | ||
| 588 | |a Description based on print version record and CIP data provided by publisher. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Acknowledgments -- |t Chapter One Introduction -- |t Chapter Two CAT(0) Cube Complexes -- |t Chapter Three Cubical Small-Cancellation Theory -- |t Chapter Four Torsion and Hyperbolicity -- |t Chapter Five New Walls and the B(6) Condition -- |t Chapter Six Special Cube Complexes -- |t Chapter Seven Cubulations -- |t Chapter Eight Malnormality and Fiber-Products -- |t Chapter Nine Splicing Walls -- |t Chapter Ten Cutting X ∗ -- |t Chapter Eleven Hierarchies -- |t Chapter Twelve Virtually Special Quotient Theorem -- |t Chapter Thirteen Amalgams of Virtually Special Groups -- |t Chapter Fourteen Large Fillings Are Hyperbolic and Preservation of Quasiconvexity -- |t Chapter Fifteen Relatively Hyperbolic Case -- |t Chapter Sixteen Largeness and Omnipotence -- |t Chapter Seventeen Hyperbolic 3-Manifolds with a Geometrically Finite Incompressible Surface -- |t Chapter Eighteen Limit Groups and Abelian Hierarchies -- |t Chapter Nineteen Application Towards One-Relator Groups -- |t Chapter Twenty Problems -- |t References -- |t Index |
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Hyperbolic groups. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Groupes hyperboliques. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS / Group Theory |2 bisacsh | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Hyperbolic groups |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Wise, Daniel T., 1971- |t The structure of groups with a quasiconvex hierarchy |d Princeton : Princeton University Press, 2021. |z 9780691170442 |w (DLC) 2020040293 |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctv1574pr6 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH38263467 | ||
| 938 | |a YBP Library Services |b YANK |n 16896340 | ||
| 938 | |a EBSCOhost |b EBSC |n 2569736 | ||
| 994 | |a 92 |b IZTAP | ||