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201019 ||| eng |
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|a 978-0-691-21350-7
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050 |
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4 |
|a QA174.2
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100 |
1 |
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|a Wise, Daniel T.
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245 |
0 |
4 |
|a The Structure of Groups with a Quasiconvex Hierarchy (AMS-209)
|h Elektronische Ressource
|c Daniel T. Wise
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260 |
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|a Princeton ; Oxford
|b Princeton University Press
|c 2021
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653 |
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|a Mathematische Logik
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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490 |
0 |
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|a Annals of Mathematics Studies
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776 |
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|z 9780691170442
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776 |
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|z 9780691170459
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856 |
4 |
0 |
|u https://www.degruyter.com/document/doi/10.1515/9780691213507
|x Verlag
|3 Volltext
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082 |
0 |
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|a 512
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650 |
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4 |
|a Hyperbolic groups
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650 |
|
4 |
|a Group theory
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520 |
3 |
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|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.
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