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Author : Heiner Zieschang
Publisher : Springer
ISBN 13 : 3540699813
Total Pages : 344 pages
Book Rating : 4.5/5 (46 download)
Download or read book Surfaces and Planar Discontinuous Groups written by Heiner Zieschang and published by Springer. This book was released on 2006-11-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D.J. Collins
Publisher : Springer Science & Business Media
ISBN 13 : 3642580130
Total Pages : 248 pages
Book Rating : 4.6/5 (425 download)
Download or read book Algebra VII written by D.J. Collins and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
Author : Werner Fenchel
Publisher : Walter de Gruyter
ISBN 13 : 3110891352
Total Pages : 389 pages
Book Rating : 4.1/5 (18 download)
Download or read book Discontinuous Groups of Isometries in the Hyperbolic Plane written by Werner Fenchel and published by Walter de Gruyter. This book was released on 2011-05-12 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on isometry groups of the hyperbolic plane. Interest in such groups dates back more than 120 years. Examples appear in number theory (modular groups and triangle groups), the theory of elliptic functions, and the theory of linear differential equations in the complex domain (giving rise to the alternative name Fuchsian groups). The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, and his interest arose through his deep investigations on the topology of Riemann surfaces and from the fact that the fundamental group of a surface of genus greater than one is represented by such a discontinuous group. Werner Fenchel (1905-1988) joined the project later and overtook much of the preparation of the manuscript. The present book is special because of its very complete treatment of groups containing reversions and because it avoids the use of matrices to represent Moebius maps. This text is intended for students and researchers in the many areas of mathematics that involve the use of discontinuous groups.
Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521694698
Total Pages : 463 pages
Book Rating : 4.5/5 (216 download)
Download or read book Groups St Andrews 2005: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2007-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.
Author : William J. Harvey
Publisher : Cambridge University Press
ISBN 13 : 0521429323
Total Pages : 260 pages
Book Rating : 4.5/5 (214 download)
Download or read book Discrete Groups and Geometry written by William J. Harvey and published by Cambridge University Press. This book was released on 1992-07-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of a conference held at the University of Birmingham to mark the retirement of Professor A. M. Macbeath. The papers represent up-to-date work on a broad spectrum of topics in the theory of discrete group actions, ranging from presentations of finite groups through the detailed study of Fuchsian and crystallographic groups, to applications of group actions in low dimensional topology, complex analysis, algebraic geometry and number theory. For those wishing to pursue research in these areas, this volume offers a valuable summary of contemporary thought and a source of fresh geometric insights.
Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521477492
Total Pages : 320 pages
Book Rating : 4.5/5 (214 download)
Download or read book Groups '93 Galway/St Andrews: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1995-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representing the wealth and diversity of group theory for experienced researchers as well as new postgraduates, this two-volume book contains selected papers from the international conference which was held at University College Galway in August 1993.
Author : Benjamin Fine
Publisher : CRC Press
ISBN 13 : 9780824703196
Total Pages : 338 pages
Book Rating : 4.7/5 (31 download)
Download or read book Algebraic Generalizations of Discrete Groups written by Benjamin Fine and published by CRC Press. This book was released on 1999-07-27 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
Author : Boris N. Apanasov
Publisher : Walter de Gruyter
ISBN 13 : 3110808056
Total Pages : 541 pages
Book Rating : 4.1/5 (18 download)
Download or read book Conformal Geometry of Discrete Groups and Manifolds written by Boris N. Apanasov and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Author : Boris N. Apanasov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110784130
Total Pages : 714 pages
Book Rating : 4.1/5 (17 download)
Download or read book Dynamics of Discrete Group Action written by Boris N. Apanasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-22 with total page 714 pages. 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.
Author : B. Apanasov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792302162
Total Pages : 522 pages
Book Rating : 4.3/5 (21 download)
Download or read book Discrete Groups in Space and Uniformization Problems written by B. Apanasov and published by Springer Science & Business Media. This book was released on 1991-06-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also dealt with in depth are geometric and conformal structures on manifolds, with particular emphasis on hyperbolic n-dimensional manifolds. A detailed account of the geometric and analytic properties of geometrically-finite Mobius groups in n-dimensional space is given and this forms the basis of the subsequent analysis. Emphasis is placed on the geometrical aspects and on the universal constraints which must be satisfied by all tessellations and structures on manifolds. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Dennis A. Hejhal
Publisher : American Mathematical Soc.
ISBN 13 : 0821824996
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)
Download or read book Regular $b$-Groups, Degenerating Riemann Surfaces, and Spectral Theory written by Dennis A. Hejhal and published by American Mathematical Soc.. This book was released on 1990 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the spectral theory of the Laplacian as the underlying Riemann surface is "pinched down" to a surface with nodes. The problem is attacked from the (general) standpoint of regular b-groups and the Selberg trace formula.
Author : Marston D. E. Conder
Publisher : Springer
ISBN 13 : 331978434X
Total Pages : 349 pages
Book Rating : 4.3/5 (197 download)
Download or read book Discrete Geometry and Symmetry written by Marston D. E. Conder and published by Springer. This book was released on 2018-06-11 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection.
Author : Emilio Bujalance
Publisher : Springer
ISBN 13 : 3540471804
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)
Download or read book Automorphism Groups of Compact Bordered Klein Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.
Author : Roger Fenn
Publisher : Cambridge University Press
ISBN 13 : 0521269822
Total Pages : 277 pages
Book Rating : 4.5/5 (212 download)
Download or read book Low Dimensional Topology written by Roger Fenn and published by Cambridge University Press. This book was released on 1985-07-25 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, which is dedicated to H. Seifert, are papers based on talks given at the Isle of Thorns conference on low dimensional topology held in 1982.
Author : H. Zieschang
Publisher : Springer
ISBN 13 : 3540387714
Total Pages : 348 pages
Book Rating : 4.5/5 (43 download)
Download or read book Finite Groups of Mapping Classes of Surfaces written by H. Zieschang and published by Springer. This book was released on 2006-11-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E.B. Vinberg
Publisher : Springer Science & Business Media
ISBN 13 : 3662029014
Total Pages : 263 pages
Book Rating : 4.6/5 (62 download)
Download or read book Geometry II written by E.B. Vinberg and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.
Author : A. Barlotti
Publisher : Springer Science & Business Media
ISBN 13 : 9401133824
Total Pages : 455 pages
Book Rating : 4.4/5 (11 download)
Download or read book Generators and Relations in Groups and Geometries written by A. Barlotti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.
