Infinite Group Actions on Polyhedra

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Release : 2024
Genre : Infinite groups
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Book Rating : 436/5 ( reviews)

Infinite Group Actions on Polyhedra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Group Actions on Polyhedra write by MICHAEL W. DAVIS. This book was released on 2024. Infinite Group Actions on Polyhedra available in PDF, EPUB and Kindle. 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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Release : 2024-07-22
Genre : Mathematics
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Book Rating : 130/5 ( reviews)

Dynamics of Discrete Group Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics of Discrete Group Action write by Boris N. Apanasov. This book was released on 2024-07-22. Dynamics of Discrete Group Action available in PDF, EPUB and Kindle. 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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Release : 1991
Genre : Art
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Book Rating : 628/5 ( reviews)

Mathematical Impressions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Impressions write by A. T. Fomenko. This book was released on 1991. Mathematical Impressions available in PDF, EPUB and Kindle. 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

Low-dimensional Topology and Kleinian Groups

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Release : 1986
Genre : Mathematics
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Book Rating : 056/5 ( reviews)

Low-dimensional Topology and Kleinian Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Low-dimensional Topology and Kleinian Groups write by D. B. A. Epstein. This book was released on 1986. Low-dimensional Topology and Kleinian Groups available in PDF, EPUB and Kindle. 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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Release : 1988
Genre : Mathematics
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Book Rating : 822/5 ( reviews)

Geometry of Group Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Group Representations write by William Mark Goldman. This book was released on 1988. Geometry of Group Representations available in PDF, EPUB and Kindle. 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.