Table of Contents

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   Book Overview
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   Chapter 1 Symmetries of the Tetrahedron
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   Chapter 2 Axioms
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   Chapter 3 Numbers
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   Chapter 4 Dihedral Groups
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   Chapter 5 Subgroups and Generators
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   Chapter 6 Permutations
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   Chapter 7 Isomorphisms
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   Chapter 8 Plato’s Solids and Cayley’s Theorem
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    Chapter 9 Matrix Groups
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    Chapter 10 Products
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    Chapter 11 Lagrange’s Theorem
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    Chapter 12 Partitions
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    Chapter 13 Cauchy’s Theorem
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    Chapter 14 Conjugacy
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    Chapter 15 Quotient Groups
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    Chapter 16 Homomorphisms
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    Chapter 17 Actions, Orbits, and Stabilizers
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    Chapter 18 Counting Orbits
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    Chapter 19 Finite Rotation Groups
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    Chapter 20 The Sylow Theorems
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    Chapter 21 Finitely Generated Abelian Groups
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    Chapter 22 Row and Column Operations
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    Chapter 23 Automorphisms
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    Chapter 24 The Euclidean Group
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    Chapter 25 Lattices and Point Groups
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    Chapter 26 Wallpaper Patterns
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    Chapter 27 Free Groups and Presentations
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    Chapter 28 Trees and the Nielsen-Schreier Theorem