Groups and Symmetry
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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1988, 1988
|
| Edition: | 1st ed. 1988 |
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Symmetries of the Tetrahedron
- 2 Axioms
- 3 Numbers
- 4 Dihedral Groups
- 5 Subgroups and Generators
- 6 Permutations
- 7 Isomorphisms
- 8 Plato’s Solids and Cayley’s Theorem
- 10 Products
- 11 Lagrange’s Theorem
- 12 Partitions
- 13 Cauchy’s Theorem
- 14 Conjugacy
- 15 Quotient Groups
- 16 Homomorphisms
- 17 Actions, Orbits, and Stabilizers
- 18 Counting Orbits
- 19 Groups
- 20 The Sylow Theorems
- 21 Finitely Generated Abelian Groups
- 22 Row and Column Operations
- 23 Automorphisms
- 24 The Euclidean Group
- 25 Lattices and Point Groups
- 26 Wallpaper Patterns
- 27 Free Groups and Presentations
- 28 Trees and the Nielsen-Schreier Theorem