Discontinuous Groups of Isometries in the Hyperbolic Plane (Hardcover)

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.

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Studies in Mathematics
Release date:	December 2002
First published:	2002
Authors:	Werner Fenchel • Jakob Nielsen
Editors:	Asmus L. Schmidt
Dimensions:	230 x 155 x 25mm (L x W x T)
Format:	Hardcover
Pages:	385
ISBN-13:	978-3-11-017526-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General
LSN:	3-11-017526-6
Barcode:	9783110175264

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