Discontinuous Groups of Isometries in the Hyperbolic Plane
Language: English
Published by De Gruyter, DE, 2002
- Hardcover
- New
Seller: Rarewaves USA, HEBRON, KY, U.S.A.Rarewaves USA
AbeBooks seller since June 10, 2025
Condition: New
£ 188.20
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Add to basketItem description from seller
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.…
Seller Inventory # LU-9783110175264
- Title
- Discontinuous Groups of Isometries in the Hyperbolic Plane
- Author
- Werner Fenchel, Jakob Nielsen
- Publisher
- De Gruyter, DE
- Publication year
- 2002
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3110175266
- ISBN 13
- 9783110175264
- Item weight
- 796 grams
- Series
- Book 12 of 60: De Gruyter Studies in Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
Asmus L. Schmidt is Associate Professor at the Institute for Mathematical Sciences of the University of Copenhagen, Denmark.
"About the title" may belong to another edition of this title.
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