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Princeton University Press - The Structure of Groups (AMS-209)

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Description

Explore a breakthrough in geometric group theory and 3-manifold topology with this monograph from Princeton University Press. Part of the Annals of Mathematics Studies series (volume 209), this work focuses on the applications of cube complexes to advance mathematical understanding. The text introduces several new methodologies, including a cubical small-cancellation theory that expands upon concepts from the 1960s. Readers will find detailed analysis on a version of Dehn Filling designed for the category of special cube complexes, alongside various results concerning right-angled Artin groups. This book concludes by establishing a significant theorem regarding the nature of hyperbolic groups that are constructed as amalgams, making it an essential resource for mathematicians in algebra and topology.

Key Features

This Princeton University Press monograph covers essential applications of cube complexes for researchers.

The text introduces a cubical small-cancellation theory that generalizes mathematical ideas from the 1960s.

Includes a specialized version of Dehn Filling that functions within the category of special cube complexes.

Provides a variety of results focused on right-angled Artin groups for advanced study.

Contains a significant theorem regarding the nature of hyperbolic groups constructed as amalgams.

Part of the prestigious Annals of Mathematics Studies series, volume 209 (AMS-209).

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
04 May 2021
Listed Since
14 April 2020

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