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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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.93 K19 (Browse shelf(Opens below)) Available C26311
Books ISI Library, Kolkata NBHM Collection 515.93 K19 (Browse shelf(Opens below)) Available 122170
Total holds: 0

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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