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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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. The University of Queensland. Discrete and properly discontinuous groups 2.

Definitions of arithmetic Fuchsian groups 5. Published August 1st by University of Chicago Press. Petar Maymounkov rated it it was amazing Jan 25, Skip to content Skip to search. Criteria for arithmeticity 5. Looking for beautiful books?

Fuchsian Groups – Svetlana Katok – Google Books

Some Escher graphics are based on them for the disc model of hyperbolic geometry. That is, any one of these three can serve as a definition of a Fuchsian group, the others following as theorems. University of Newcastle Library. University of Western Australia. Gareth Speight rated it liked it Jun groupd, In other words, the limit set is a Cantor set.

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These 2 locations in New South Wales: Isometric circles and the Ford fundamental region 3. Want to Read Currently Reading Read. The hyperbolic metric 1. There are no discussion topics on this book yet. ABK Fernando rated it really liked it Dec 28, James Mccarron added it Sep 01, Open to the public ; Mos Refresh and try again. Katoi of a Dirichlet region 3.

Australian National University Library. Fuchsian groups of the first kind 4.

Fuchsian groups grokps from quaternion algebras 5. 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.

Cocompact Fuchsian groups 4.

Fuchsian groups generated by reflections 4. Lists What are lists? Navier-Stokes Equations Peter Constantin.

This single location in Western Australia: Getting There Stephen B. For more information, or to order this book, please visit https: Criteria for arithmeticity 5.


Fuchsian group – Wikipedia

Books by Svetlana Katok. Hyperbolic area and the Gauss-Bonnet formula 1. Olga Kravchenko griups it it was amazing Feb 27, This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field.

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Fuchsian Groups

Otherwise, a Fuchsian group is said to be of the hroups type. Commutative Semi-group Rings Robert Gilman. Tags What are tags? In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. This single location in Australian Capital Territory: This page was last edited on 6 Octoberat None of your libraries hold this item.

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