TY - BOOK AU - Katok,Svetlana TI - Fuchsian groups T2 - Chicago lectures in mathematics SN - 0226425827 (cloth : alk. paper) U1 - 515.93 23 PY - 1992/// CY - Chicago PB - University of Chicago Press KW - Fuchsian groups N1 - 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 N2 - 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 ER -