Search results for: surfaces-and-planar-discontinuous-groups

Surfaces and Planar Discontinuous Groups

Author : Heiner Zieschang
File Size : 48.83 MB
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Surfaces and Planar Discontinuous Groups

Author : Heiner Zieschang
File Size : 37.29 MB
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Algebra VII

Author : D.J. Collins
File Size : 78.73 MB
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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

Groups St Andrews 2005 Volume 1

Author : C. M. Campbell
File Size : 55.86 MB
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Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.

Discontinuous Groups of Isometries in the Hyperbolic Plane

Author : Werner Fenchel
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"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.). - "It is intended for students and researchers in the many areas of mathematics that involve the use of discontinuous groups."--Jacket.

Groups 93 Galway St Andrews Volume 1

Author : E. F. Robertson
File Size : 61.25 MB
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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.

Regular b Groups Degenerating Riemann Surfaces and Spectral Theory

Author : Dennis A. Hejhal
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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.

Automorphism Groups of Compact Bordered Klein Surfaces

Author : Emilio Bujalance
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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.

Discrete Geometry and Symmetry

Author : Marston D. E. Conder
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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.

Finite Groups of Mapping Classes of Surfaces

Author : H. Zieschang
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