The Structure of Groups with a Quasiconvex Hierarchy is popular PDF and ePub book, written by Daniel T. Wise in 2021-05-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Structure of Groups with a Quasiconvex Hierarchy can be Read Online from any device for your convenience.
The Structure of Groups with a Quasiconvex Hierarchy Book PDF Summary
"This monograph weaves together fundamentals of Mikhail Leonidovich Gromov's hyperbolic groups with the theory of cube complexes dual to spaces with walls. Many fundamental new ideas and methodologies are presented here for the first time: A cubical small-cancellation theory generalizing ideas from the 1960's, a version of "Dehn Filling" that works in the category of special cube complexes, and a variety of new results about right-angled Artin groups. The book culminates by providing an unexpected new theorem about the nature of hyperbolic groups that are constructible as amalgams. Among the stunning applications, are the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of R.J. Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, the book outlines the author's program towards the resolution of the most important remaining conjectures of William Thurston, and achieves substantial progress in this direction. This monograph, which is richly illustrated with over 100 drawings, will be of interest to graduate students and scholars working in geometry, algebra, and topology. This groundbreaking monograph, intended for the Annals of Math series, lays the mathematical groundwork for the solution of the Thurston-Haken Conjecture, a significant result in geometric group theory. It outlines one of the deepest and most surprising pieces of this result, which also has a variety of other implications for geometric group theory. This work also has applications to low-dimensional topology, and the results in this book have since been used by other mathematicians to provide other important results"--
Detail Book of The Structure of Groups with a Quasiconvex Hierarchy PDF
- Author : Daniel T. Wise
- Release : 04 May 2021
- Publisher : Princeton University Press
- ISBN : 9780691170459
- Genre : Mathematics
- Total Page : 374 pages
- Language : English
- PDF File Size : 14,8 Mb
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