Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics. Svetlana Katok. Dedicated to the memory of my. Fuchsian Groups by Svetlana Katok, , available at Book Depository with free delivery worldwide. Fuchsian Groups has 6 ratings and 0 reviews. This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses.

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K38 Book; Illustrated English Show 0 more libraries Although discontinuity and discreteness are equivalent in this case, this is not generally true for the case of an arbitrary group of conformal homeomorphisms acting on the fucshian Riemann sphere as opposed to H.

Fuchsian Groups

Criteria for arithmeticity 5. Just a moment while we sign you in to your Goodreads account. Novelties in the Heavens Jean Dietz Moss.

Torsion-free Modules Eben Matlis. Skip to content Skip to search. Published August 1st by University of Chicago Press. Lists with This Book.

Fuchsian group

Arithmetic Fuchsian groups 5. Structure of a Dirichlet region 3. To include a comma in your tag, surround the tag with double quotes.

Definition of a fundamental region 3. View online Borrow Buy Freely available Show 0 more links Fuchsian groups of the first kind 4.

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There may, however, be limit points on the real axis. Books by Svetlana Katok. Otherwise, a Fuchsian group is said to be of the second type.

Fuchsian Groups, Katok

Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2. The limit set may be empty, or may contain one or two points, or may contain an infinite number. The group PSL 2,R 2. 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, re This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field.

Commutative Semi-group Rings Robert Gilman. There are some variations of the definition: The University of Queensland. University of Queensland Library. Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 4. 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.

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. In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry.

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Fuchsian Groups by Svetlana Katok

Views Read Edit View history. The limit set of [ ] 3. Fuchsian Groups by Svetlana Katok.

Thanks for telling us about the problem. A co-compact example is the ordinary, rotational 2,3,7 triangle groupcontaining the Fuchsian groups of the Klein quartic and of the Macbeath surfaceas well as other Hurwitz groups. Geometrically finite Fuchsian groups grohps. By using this site, you agree to the Terms of Use and Privacy Policy.

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Definitions of arithmetic Fuchsian groups 5. Structure of a Dirichlet region 3.

Olga Kravchenko rated it it was amazing Feb 27, Fuchsian Groups Svetlana Katok. Notes Includes bibliographical references p. These online bookshops told us they have this item: This single location in Victoria: