The Structure of Groups with a Quasiconvex Hierarchy : : (AMS-209) / / Daniel T. Wise.
This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory generalizing ideas from t...
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Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©2021 |
Year of Publication: | 2021 |
Language: | English |
Series: | Annals of Mathematics Studies ;
366 |
Online Access: | |
Physical Description: | 1 online resource (376 p.) :; 166 color illus. |
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035 | |a (OCoLC)1241449093 | ||
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041 | 0 | |a eng | |
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072 | 7 | |a MAT014000 |2 bisacsh | |
082 | 0 | 4 | |a 512/.2 |2 23 |
100 | 1 | |a Wise, Daniel T., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 4 | |a The Structure of Groups with a Quasiconvex Hierarchy : |b (AMS-209) / |c Daniel T. Wise. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
264 | 4 | |c ©2021 | |
300 | |a 1 online resource (376 p.) : |b 166 color illus. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Annals of Mathematics Studies ; |v 366 | |
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 |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory generalizing ideas from the 1960s, a version of Dehn Filling that functions in the category of special cube complexes, and a variety of results about right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible as amalgams.The applications described here include the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, this work establishes a cubical program for resolving Thurston's conjectures on hyperbolic 3-manifolds, and validates this program in significant cases. Illustrated with more than 150 color figures, this book will interest graduate students and researchers working in geometry, algebra, and topology. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) | |
650 | 0 | |a Group theory. | |
650 | 0 | |a Hyperbolic groups. | |
650 | 7 | |a MATHEMATICS / Group Theory. |2 bisacsh | |
653 | |a CAT(0). | ||
653 | |a Gromov. | ||
653 | |a Thurston. | ||
653 | |a geometric group theory. | ||
653 | |a graphs of groups. | ||
653 | |a hierarchies. | ||
653 | |a hyperbolic groups. | ||
653 | |a one relator groups. | ||
653 | |a relatively hyperbolic groups. | ||
653 | |a small cancellation theory. | ||
653 | |a subgroup separability. | ||
653 | |a virtual haken. | ||
653 | |a word hyperbolic groups. | ||
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2021 English |z 9783110754001 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2021 |z 9783110753776 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 English |z 9783110754131 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 |z 9783110753905 |o ZDB-23-DMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2021 |z 9783110739121 |
856 | 4 | 0 | |u https://doi.org/10.1515/9780691213507?locatt=mode:legacy |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691213507 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691213507/original |
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