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Geometry of Discrete Groups

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Geometry of Discrete Groups Cover

 

Synopses & Reviews

Publisher Comments:

This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of hyperbolic space and are then identified with the elementary transformations of complex analysis. A detailed account of analytic hyperbolic trigonometry is given, and this forms the basis of the subsequent analysis of tesselations of the hyperbolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations.

Description:

Includes bibliographical references (p. [329]-333) and index.

Product Details

ISBN:
9780387907888
Author:
Beardon, Alan F.
Publisher:
Springer
Location:
New York :
Subject:
Geometry
Subject:
Group Theory
Subject:
Discrete groups
Subject:
Geometry, Hyperbolic
Subject:
Groups.
Subject:
Mèobius transformations.
Subject:
Isometrics
Subject:
Algebra - Abstract
Subject:
Group Theory and Generalizations
Subject:
Mathematics-Group Theory
Copyright:
Edition Number:
2
Edition Description:
1983. Corr. 2nd
Series:
Graduate texts in mathematics ;
Series Volume:
3491
Publication Date:
19830509
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
352
Dimensions:
235 x 155 mm 1490 gr

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Related Subjects


Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Group Theory

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