Infinite Group Actions On Polyhedra
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Infinite Group Actions On Polyhedra
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Author : MICHAEL W. DAVIS
language : en
Publisher: Springer Nature
Release Date : 2024
Infinite Group Actions On Polyhedra written by MICHAEL W. DAVIS and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Infinite groups categories.
In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.
Dynamics Of Discrete Group Action
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Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Dynamics Of Discrete Group Action written by Boris N. Apanasov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.
Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.
Mathematical Impressions
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Author : A. T. Fomenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Mathematical Impressions written by A. T. Fomenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Art categories.
Soviet mathematician Fomenko augments his technical books and papers with visual impressions of mathematical concepts, often reminiscent of Escher, and with allusions to Breughel and Durer. Over 80 reproductions, a few in color, are accompanied by the artist's explanation of the mathematical principles being suggested. Annotation copyrighted by Book News, Inc., Portland, OR
The Nature Of The Regular Polyhedra
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Author : Frederick H. Young
language : en
Publisher:
Release Date : 1961
The Nature Of The Regular Polyhedra written by Frederick H. Young and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Algebra categories.
Low Dimensional Topology And Kleinian Groups
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Author : D. B. A. Epstein
language : en
Publisher: CUP Archive
Release Date : 1986
Low Dimensional Topology And Kleinian Groups written by D. B. A. Epstein and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Volume 2 is divided into three parts: the first 'Surfaces' contains an article by Thurston on earthquakes and by Penner on traintracks. The second part is entitled 'Knots and 3-Manifolds' and the final part 'Kleinian Groups'.
Geometry Of Group Representations
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Author : William Mark Goldman
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Geometry Of Group Representations written by William Mark Goldman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Contains papers based on talks delivered at the AMS-IMS-SIAM Summer Research Conference on the Geometry of Group Representations, held at the University of Colorado in Boulder in July 1987. This work offers an understanding of the state of research in the geometry of group representations and their applications.
Infinite Group Actions On Sphere
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Author : G. J. Martin
language : en
Publisher:
Release Date : 1989
Infinite Group Actions On Sphere written by G. J. Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
The Geometry And Topology Of Three Manifolds
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Author : William P. Thurston
language : en
Publisher: American Mathematical Society
Release Date : 2022-07-19
The Geometry And Topology Of Three Manifolds written by William P. Thurston and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-19 with Mathematics categories.
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Geometric Group Theory Asymptotic Invariants Of Infinite Groups
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Author : Graham A. Niblo
language : en
Publisher: Cambridge University Press
Release Date : 1993
Geometric Group Theory Asymptotic Invariants Of Infinite Groups written by Graham A. Niblo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Geometric group theory categories.
For anyone whose interest lies in the interplay between groups and geometry, these books should be of interest.
Dynamics Of Discrete Group Action
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Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Dynamics Of Discrete Group Action written by Boris N. Apanasov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.
Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.