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Groups and Symmetry /

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Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important...

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Bibliographic Details
Main Author: Armstrong, M. A. (Mark Anthony)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1988.
Series:Undergraduate texts in mathematics.
Subjects:
Mathematics.
Group theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Symmetries of the Tetrahedron
  • Axioms
  • Numbers
  • Dihedral Groups
  • Subgroups and Generators
  • Permutations
  • Isomorphisms
  • Plato's Solids and Cayley's Theorem
  • Matrix Groups
  • Products
  • Lagrange's Theorem
  • Partitions
  • Cauchy's Theorem
  • Conjugacy
  • Quotient Groups
  • Homomorphisms
  • Actions, Orbits, and Stabilizers
  • Counting Orbits
  • Finite Rotation Groups
  • The Sylow Theorems
  • Finitely Generated Abelian Groups
  • Row and Column Operations
  • Automorphisms
  • The Euclidean Group
  • Lattices and Point Groups
  • Wallpaper Patterns
  • Free Groups and Presentations
  • Trees and the Nielsen-Schreier Theorem
  • Bibliography
  • Index.