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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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Fuchsian Groups

Description This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. Definitions of arithmetic Fuchsian groups 5.

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.

These 2 locations in New South Wales: Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 4. Retrieved from ” https: Algebraic properties fchsian Fuchsian groups 2.

Fuchsian Groups – Svetlana Katok – Google Books

Since it is nowhere dense, this implies that any limit point is arbitrarily close to an open set that is not in the limit set. The modular group and its subgroups 5. Zachery is currently reading it Mar 31, Fuchsian groups generated by reflections 4.


Criteria for arithmeticity 5. View online Borrow Buy Freely available Show 0 more links None of your libraries hold this item. The Dirichlet region 3.

Fuchsian Groups Svetlana Katok. Plane fuchsiian Contents Machine derived contents note: Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.

The type of a Fuchsian group need not be the same as its type when considered as a Kleinian group: Open Preview See a Problem? University of Sydney Library. No trivia or quizzes yet. Geometrically finite Fuchsian groups 4.

Simplicial Objects in Algebraic Topology J. Isometric duchsian and the Ford fundamental region 3. Paperbackpages. Mdad marked it as to-read Mar 11, This action is faithful, and in fact PSL 2, R is isomorphic to the group of all orientation-preserving isometries of H. Preview — Fuchsian Groups by Svetlana Katok.

Algebraic properties of Fuchsian groups 2. To ask other readers questions about Fuchsian Groupsplease sign up. To include a comma in your tag, surround the tag with double quotes.

Fuchsian Groups by Svetlana Katok. Fuchsian groups derived from quaternion algebras 5.


The Architect is currently reading it Mar 03, Olga Kravchenko fkchsian it it was amazing Feb 27, Home This editionEnglish, Book, Illustrated edition: A similar relation holds for the systole of the corresponding Riemann surface, if the Fuchsian group is torsion-free and co-compact. University of Chicago Press: The Best Books of Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2.

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Definition of a fundamental region grokps. From Wikipedia, the free encyclopedia. This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. That is, any one of these three can serve as a definition of a Fuchsian group, the others following as theorems. Definitions of arithmetic Fuchsian groups 5. The signature of a Fuchsian group 4. Books by Svetlana Katok. Book ratings by Goodreads.

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