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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R marked it as to-read May 27, By using our website you agree to our use of cookies. From Wikipedia, the free encyclopedia. Home Contact Us Help Free delivery worldwide. Events in Mathematics and Physics. Fields and Rings Irving Kaplansky.

You also may like to try some of these bookshopswhich may or may not sell this item. Geometry of Fuchsian groups 4. Outside the USA, see our international sales information. ABK Fernando rated it really liked it Dec 28, This is the subgroup of PSL 2, R consisting of linear fractional transformations.

No trivia or quizzes yet. The signature of a Fuchsian group 4. Other books in this series. The signature of a Fuchsian group 4. Criteria for arithmeticity 5.


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Fuchsian group – Wikipedia

Open to the public ; Mos University of Newcastle Library. Skip to content Skip to search. Comments and reviews What are comments? Geometrically finite Fuchsian groups 4. More generally, any hyperbolic von Dyck group the index 2 subgroup of a triangle groupcorresponding to orientation-preserving isometries is a Fuchsian group. Open to the public ; QA A similar relation holds for the systole of the corresponding Riemann surface, if the Fuchsian group is torsion-free and co-compact.

Cocompact Fuchsian groups 4. Algebraic properties of Fuchsian groups 2.

The Dirichlet region 3. Return to Book Page. The University of Queensland. Lists with This Book. Isometric circles and the Ford fundamental region 3. Definitions of arithmetic Fuchsian groups 5. This book fychsian not yet featured on Listopia. Kevin marked it as to-read Mar 08, Fuchsian groups generated by reflections 4.

Fuchsian Groups

Some Escher graphics are based on them for the disc model of hyperbolic geometry. We use cookies to give you the best possible experience. 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.

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University of Aktok Library. The modular group and its subgroups 5. Just a moment while we sign you in to your Goodreads account. That is, any one of these three can serve as a definition of a Fuchsian group, the others following as theorems.

Fuchsian Groups : Svetlana Katok :

Fuchsian groups derived from quaternion algebras 5. Looking for beautiful books? Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2. Definition of a fundamental region 3.

Login to add to list. The Calculus Otto Toeplitz. There are some variations of the definition: University of Western Australia Library.

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