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DISCRETE GROUPS (TRANSLATIONS OF MATHEMATICAL MONOGRAPHS) By Ken'ichi Ohshika
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Condition:
“Book is in typical used-Good Condition. Will show signs of wear to cover and/or pages. There may be ”... Read moreabout condition
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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eBay item number:187170772322
Item specifics
- Condition
- Good
- Seller Notes
- ISBN-10
- 082182080X
- Book Title
- Discrete Groups (Translations of Mathematical Monographs)
- ISBN
- 9780821820803
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
082182080X
ISBN-13
9780821820803
eBay Product ID (ePID)
14038747862
Product Key Features
Number of Pages
193 Pages
Language
English
Publication Name
Discrete Groups
Publication Year
2001
Subject
Group Theory
Type
Textbook
Subject Area
Mathematics
Series
Translations of Mathematical Monographs
Format
Trade Paperback
Dimensions
Item Height
0.6 in
Item Weight
8.7 Oz
Item Length
9.8 in
Item Width
5.9 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2001-045901
Dewey Edition
21
Series Volume Number
207
Illustrated
Yes
Dewey Decimal
512/.2
Table Of Content
Basic notions for infinite group; Hyperbolic groups; Automatic groups; Kleinian groups; Prospects; Bibliography; Index; Copying and reprinting page.
Synopsis
This book deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the longest tradition and the richest contents within the theory of discrete subgroups of Lie groups. What is common among these three classes of groups is that when seen as geometric objects, they have the properties of a negatively curved space rather than a positively curved space. As Kleinian groups are groups acting on a hyperbolic space of constant negative curvature, the technique employed to study them is that of hyperbolic manifolds, typical examples of negatively curved manifolds. Although hyperbolic groups in the sense of Gromov are much more general objects than Kleinian groups, one can apply for them arguments and techniques that are quite similar to those used for Kleinian groups. Automatic groups are further general objects, including groups having properties of spaces of curvature 0. Still, relationships between automatic groups and hyperbolic groups are examined here using ideas inspired by the study of hyperbolic manifolds. In all of these three topics, there is a ''soul'' of negative curvature upholding the theory. The volume would make a fine textbook for a graduate-level course, Deals with geometric and topological aspects of discrete groups. This book discusses the topics such as hyperbolic groups due to Gromov; automatic group theory, invented and developed by Epstein; and Kleinian group theory, which enjoys the tradition and the contents within the theory of discrete subgroups of Lie groups., This book deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the longest tradition and the richest contents within the theory of discrete subgroups of Lie groups. What is common among these three classes of groups is that when seen as geometric objects, they have the properties of a negatively curved space rather than a positively curved space. As Kleinian groups are groups acting on a hyperbolic space of constant negative curvature, the technique employed to study them is that of hyperbolic manifolds, typical examples of negatively curved manifolds.Although hyperbolic groups in the sense of Gromov are much more general objects than Kleinian groups, one can apply for them arguments and techniques that are quite similar to those used for Kleinian groups. Automatic groups are further general objects, including groups having properties of spaces of curvature 0. Still, relationships between automatic groups and hyperbolic groups are examined here using ideas inspired by the study of hyperbolic manifolds. In all of these three topics, there is a 'soul' of negative curvature upholding the theory. The volume would make a fine textbook for a graduate-level course in discrete groups., This text deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the longest tradition and the richest contents within the theory of discrete subgroups of Lie groups. What is common among these three classes of groups is that when seen as geometric objects, they have the properties of a negatively curved space rather than a positively curved space. As Kleinian groups are groups acting on a hyperbolic space of constant negative curvature, the technique employed to study them is that of hyperbolic manifolds, typical examples of negatively curved manifolds. Although hyperbolic groups in the sense of Gromov are much more general objects than Kleinian groups, one can apply for them arguments and techniques that are quite similar to those used for Kleinian groups. Automatic groups are further general objects, including groups having properties of spaces of curvature 0.
LC Classification Number
QA178.O7413 2001
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