Discontinuous Groups of Isometries in the Hyperbolic Plane

Werner Fenchel, Jakob Nielsen

ISBN 10: 3110175266 / ISBN 13: 9783110175264

Verlag: De Gruyter, DE, 2002

Beschreibung

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.

Bestandsnummer des Verkäufers LU-9783110175264

Bibliografische Details

• Titel: Discontinuous Groups of Isometries in the Hyperbolic Plane
• Verlag: De Gruyter, DE
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3110175266
• ISBN-13: 9783110175264
• Einband: Hardback
• Zustand: New
• Gewicht: 796 Gramm

Über diesen Titel

Inhaltsangabe

Fuchsian groups play a central role in various important fields of mathematics. 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, Werner Fenchel (1905-1988) joined later and overtook the much of the preparation of the manuscript. Professor Asmus Schmidt (University of Copenhagen) is the editor of this first publication in book form of the Fenchel-Nielsen notes. It is on his initiative that the long and difficult way of getting the original notes into the proper shape ready for publication succeeded.

Über die Autorin bzw. den Autor

Asmus L. Schmidt is Associate Professor at the Institute for Mathematical Sciences of the University of Copenhagen, Denmark.