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Fuchsian groups / Svetlana Katok.

By: Material type: TextTextSeries: Chicago lectures in mathematicsPublication details: Chicago : University of Chicago Press, c1992.Description: x, 175 p. : ill. ; 21 cmISBN:
  • 0226425827 (cloth : alk. paper)
Subject(s): DDC classification:
  • 515.93 K19 23
Contents:
1. Hyperbolic geometry-- 2. Fuchsian groups-- 3. Fundamental regions-- 4. Geometry of fuchsian groups-- 5. Arithmetic fuchsian groups-- Hints for selected excercises-- Bibliography-- Index.
Summary: This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory.
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Includes bibliographical references (p. 167-168) and index.

1. Hyperbolic geometry--
2. Fuchsian groups--
3. Fundamental regions--
4. Geometry of fuchsian groups--
5. Arithmetic fuchsian groups--
Hints for selected excercises--
Bibliography--
Index.

This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory.

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