The Isomorphism Problem In Coxeter Groups PDF Download
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Author | : C. Patrick Bahls |
Publisher | : World Scientific |
Total Pages | : 194 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 1860945546 |
Download The Isomorphism Problem in Coxeter Groups Book in PDF, ePub and Kindle
The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics.The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the investigation, the readers are introduced to a large number of tools in the theory of Coxeter groups, drawn from dozens of recent articles by prominent researchers in geometric and combinatorial group theory, among other fields. As the central problem of the book may in fact be solved soon, the book aims to go further, providing the readers with many techniques that can be used to answer more general questions. The readers are challenged to practice those techniques by solving exercises, a list of which concludes each chapter.
Author | : Mauro Pablo Grassi |
Publisher | : |
Total Pages | : 140 |
Release | : 2007 |
Genre | : Computational complexity |
ISBN | : |
Download The Isomorphism Problem for a Class of Finitely Generated Coxeter Groups Book in PDF, ePub and Kindle
Author | : N.S. Narasimha Sastry |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2014-04-02 |
Genre | : Mathematics |
ISBN | : 8132218140 |
Download Groups of Exceptional Type, Coxeter Groups and Related Geometries Book in PDF, ePub and Kindle
The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the latest developments in the subject; some provide an overview of the current status of some important problems in this area; some survey an area highlighting the current developments; and some provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of the latest developments or to consider some problems for investigation.
Author | : Harold Scott Macdonald Coxeter |
Publisher | : American Mathematical Soc. |
Total Pages | : 344 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821887608 |
Download The Coxeter Legacy Book in PDF, ePub and Kindle
This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Author | : Michael Davis |
Publisher | : Princeton University Press |
Total Pages | : 600 |
Release | : 2012-11-26 |
Genre | : Mathematics |
ISBN | : 1400845947 |
Download The Geometry and Topology of Coxeter Groups. (LMS-32) Book in PDF, ePub and Kindle
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Author | : Benjamin Fine |
Publisher | : World Scientific |
Total Pages | : 253 |
Release | : 2008-10-23 |
Genre | : Mathematics |
ISBN | : 9814471674 |
Download Aspects Of Infinite Groups: A Festschrift In Honor Of Anthony Gaglione Book in PDF, ePub and Kindle
This book is a festschrift in honor of Professor Anthony Gaglione's sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.
Author | : Michael Davis |
Publisher | : Princeton University Press |
Total Pages | : 601 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0691131384 |
Download The Geometry and Topology of Coxeter Groups Book in PDF, ePub and Kindle
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Author | : Ann C. Kim |
Publisher | : Springer |
Total Pages | : 194 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540467564 |
Download Groups - Korea 1988 Book in PDF, ePub and Kindle
These proceedings include selected and refereed original papers; most are research papers, a few are comprehensive survey articles.
Author | : Anders Bjorner |
Publisher | : Springer Science & Business Media |
Total Pages | : 371 |
Release | : 2006-02-25 |
Genre | : Mathematics |
ISBN | : 3540275967 |
Download Combinatorics of Coxeter Groups Book in PDF, ePub and Kindle
Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups
Author | : |
Publisher | : |
Total Pages | : 932 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle