Name: The Structure of Groups With a Quasiconvex Hierarchy: (Ams-209) (Annals of Mathematics Studies, 366)
Price: 61.88 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)

Formato

Libro Físico

Editorial

Princeton Univ Pr

Autor

Daniel T. Wise

Encuadernación

Tapa Blanda

ISBN13

9780691170459

Categorías

Geometría

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

Daniel T. Wise (Autor) · Princeton Univ Pr · Tapa Blanda

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Reseña del libro "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.