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Infinite Group Actions on Polyhedra

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

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Book Synopsis Infinite Group Actions on Polyhedra by : MICHAEL W. DAVIS

Download or read book Infinite Group Actions on Polyhedra written by MICHAEL W. DAVIS. This book was released on 2024. Available in PDF, EPUB and Kindle. Book excerpt: 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
Kind : eBook
Book Rating : 130/5 ( reviews)

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Book Synopsis Dynamics of Discrete Group Action by : Boris N. Apanasov

Download or read book Dynamics of Discrete Group Action written by Boris N. Apanasov. This book was released on 2024-07-22. Available in PDF, EPUB and Kindle. Book excerpt: 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
Kind : eBook
Book Rating : 628/5 ( reviews)

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Book Synopsis Mathematical Impressions by : A. T. Fomenko

Download or read book Mathematical Impressions written by A. T. Fomenko. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: 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
Kind : eBook
Book Rating : 056/5 ( reviews)

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Book Synopsis Low-dimensional Topology and Kleinian Groups by : D. B. A. Epstein

Download or read book Low-dimensional Topology and Kleinian Groups written by D. B. A. Epstein. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt: 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
Kind : eBook
Book Rating : 822/5 ( reviews)

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Book Synopsis Geometry of Group Representations by : William Mark Goldman

Download or read book Geometry of Group Representations written by William Mark Goldman. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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