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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To include a comma in your tag, surround the tag with double quotes. Home This editionEnglish, Book, Illustrated edition: Then H is a model of the hyperbolic plane when endowed with the metric.

Fuchssian, a Fuchsian group is said to be of the second type. Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen.

In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. Public Private login e.


We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Australian National University Library. Discrete and properly discontinuous groups 2.

More Concise Algebraic Topology J. From Wikipedia, the free encyclopedia. About Contact News Giving to the Press. Compactness of [ ] for Fuchsian groups derived from division quaternion algebras 5.

Fuchsian group

Related resource Table of contents only at http: Fields and Rings Irving Kaplansky. No trivia or quizzes yet.

These online bookshops told us they have this item: Goodreads helps you keep track of books you want to read. Geometrically finite Fuchsian groups 4. Open to the public ; QA Geometry of Fuchsian groups 4. Check out the top books of the year on our page Best Books of Events in Mathematics and Fuchsiqn. More generally, any hyperbolic von Dyck group the index 2 subgroup of a triangle groupcorresponding to orientation-preserving isometries is a Fuchsian group.

University of Chicago Press: 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 this case, the group may be called the Fuchsian group of the surface.

Fuchsian Groups : Svetlana Katok :

This action is faithful, and in fact PSL 2, R is isomorphic to the group of all orientation-preserving isometries of H. Book ratings by Goodreads.

James Mccarron added it Sep 01, Found at these bookshops Searching – please fuchsiaj University of Sydney Library. R marked it as to-read May 27, The group PSL 2,R 2. Series Chicago lectures in mathematics series Chicago lectures in mathematics Subjects Fuchsian groups.

ABK Fernando rated it really liked it Dec 28, Criteria for arithmeticity 5. 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.