KATOK FUCHSIAN GROUPS PDF

Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics. Svetlana Katok. Dedicated to the memory of my. Buy Fuchsian Groups (Chicago Lectures in Mathematics) by Svetlana Katok ( ISBN: ) from Amazon’s Book Store. Everyday low prices and free . Fuchsian Groups by Svetlana Katok, , available at Book Depository with free delivery worldwide.

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We were unable to find this edition in any bookshop we are able to search. University of Western Australia.

Fuchsian Groups, Katok

Retrieved from ” https: Trivia About Fuchsian Groups. Home This editionEnglish, Book, Illustrated edition: Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2.

Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 4. Lists What are lists? Plane geometry Contents Machine derived contents note: Definition of a fundamental region 3.

Fuchsian groups / Svetlana Katok. – Version details – Trove

Open to the public ; QA Want to Read saving…. The signature of a Fuchsian group 4. The University of Queensland. University of Western Australia Library. University of Newcastle Library.

Elementary groups Exercises for Chapter 2 3. Fuchsian groups derived from quaternion algebras 5. Indeed, even the modular group PSL 2, Zwhich is a Fuchsian group, does not act discontinuously on the real number line; it has accumulation points at the rational numbers.

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The group PSL 2, R can be regarded as a group of isometries of the hyperbolic planeor conformal transformations of the unit disc, or conformal transformations of the upper half planeso a Fuchsian group can be regarded as a group acting on any of these spaces.

View online Borrow Buy Freely available Show 0 more links The Dirichlet region 3. The modular group and its subgroups 5.

Fuchsian Groups

Discrete and properly discontinuous groups 2. Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2. Torsion-free Modules Eben Matlis. The University of Sydney. Goodreads helps you keep track of books you want to read. Lists with This Book.

Hyperbolic area and the Gauss-Bonnet formula 1.

Geometry of Fuchsian groups 4. This is the subgroup of PSL 2, R consisting of linear fractional transformations. Related resource Table of contents only fuchdian http: Algebraic properties of Fuchsian groups 2.

In the latter case, there are two types:.

Fuchsian group

Then set up a grpups list of libraries from your profile page by clicking on your user name at the top right of any screen. Definitions of arithmetic Fuchsian groups 5.

Open Preview See a Problem? A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to fuchsoan theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory. Octipi marked it as to-read Apr 21, The type of a Fuchsian group need not be the same as its type when considered as a Kleinian group: Hyperbolic area and the Gauss-Bonnet formula 1. Isometric circles and the Ford fundamental region 3.

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More generally, any hyperbolic von Dyck group the index 2 subgroup of a triangle groupcorresponding to orientation-preserving isometries is a Fuchsian group.

Notes Includes bibliographical references p. Product details Format Paperback pages Dimensions x x Petar Maymounkov rated it it was amazing Jan 25, Fields and Rings Irving Kaplansky. 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.

Fuchsian groups of the first kind 4. University of Sydney Library. This book is not yet featured on Listopia. Structure of a Dirichlet region 3. Thanks for telling us about the problem.