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The main object of study for this book is geometry, with group theory providing an appropriate language in which to express geometrical ideas. Key features include: An overview of the preliminaries from group theory and geometry Coverage of the discrete subgroups of the Euclidean group A clear and c...

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Bibliographic Details
Main Author: Johnson, D. L.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London, 2001.
Series:Springer undergraduate mathematics series.
Subjects:
Mathematics.
Group theory.
Algebra.
Geometry.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Metric Spaces and their Groups
  • Isometries of the Plane
  • Some Basic Group Theory
  • Products of Reflections
  • Generators and Reflections
  • Discrete Subgroups of the Euclidean Group
  • Plane Crystallographic Groups: OP Case
  • Plane Crystallographic Groups: OR Case
  • Tessellations of the Plane
  • Tessellations of the Sphere
  • Triangle Groups
  • Regular Polytopes
  • Solutions to Exercises
  • Guide to the Literature
  • Index of Notation
  • Index.