Name: The Structure of Groups With a Quasiconvex Hierarchy: (Ams-209) (Annals of Mathematics Studies, 366)
Price: 72.80 USD
Availability: InStock
Author: Daniel T. Wise
ISBN: 9780691170459

portada The Structure of Groups With a Quasiconvex Hierarchy: (Ams-209) (Annals of Mathematics Studies, 366)

Type

Physical Book

Publisher

Princeton Univ Pr

Author

Daniel T. Wise

Format

Paperback

ISBN13

9780691170459

Synopsis "The Structure of Groups With a Quasiconvex Hierarchy: (Ams-209) (Annals of Mathematics Studies, 366)"

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.