The Structure of Groups with a Quasiconvex Hierarchy: (AMS-209)

$42.00

China Internet Development Report 2018: Blue Book of World Internet Conference 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 that generalizes 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. Additional ISBNs 0691170452, 0691170444, 9780691170459, 9780691170442The Structure of Groups with a Quasiconvex Hierarchy: (AMS-209) is written by Daniel T. Wise and published by Princeton University Press. ISBNs for The Structure of Groups with a Quasiconvex Hierarchy are 9780691213507, 069121350X and the print ISBNs are 9780691170459, 0691170452. Additional ISBNs include 0691170452, 0691170444, 9780691170459, 9780691170442.

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Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes 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. Additional ISBNs 0691170452, 0691170444, 9780691170459, 9780691170442The Structure of Groups with a Quasiconvex Hierarchy: (AMS-209) is written by Daniel T. Wise and published by Princeton University Press. ISBNs for The Structure of Groups with a Quasiconvex Hierarchy are 9780691213507, 069121350X and the print ISBNs are 9780691170459, 0691170452. Additional ISBNs include 0691170452, 0691170444, 9780691170459, 9780691170442.