• DOI:10.5860/choice.26-5108
• Corpus ID: 117566884

Groups and symmetry

@inproceedings{Armstrong1988GroupsAS,
  title={Groups and symmetry},
  author={M. A. Armstrong},
  year={1988}
}

• M. A. Armstrong
• Published 1988
• Mathematics

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.