Groups and symmetry

  title={Groups and symmetry},
  author={M. A. Armstrong},
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… 
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