International Tables for Crystallography (2016). Vol. A. ch. 1.1, pp. 2-11
https://doi.org/10.1107/97809553602060000919 |
Chapter 1.1. A general introduction to groups
Contents
- 1.1. A general introduction to groups (pp. 2-11) | html | pdf | chapter contents |
- 1.1.1. Introduction (p. 2) | html | pdf |
- 1.1.2. Basic properties of groups (pp. 2-4) | html | pdf |
- 1.1.3. Subgroups (pp. 4-5) | html | pdf |
- 1.1.4. Cosets (pp. 5-6) | html | pdf |
- 1.1.5. Normal subgroups, factor groups (pp. 6-7) | html | pdf |
- 1.1.6. Homomorphisms, isomorphisms (pp. 7-9) | html | pdf |
- 1.1.7. Group actions (pp. 9-10) | html | pdf |
- 1.1.8. Conjugation, normalizers (pp. 10-11) | html | pdf |
- References | html | pdf |
- Figures
- Fig. 1.1.2.1. Symmetry group 2mm of a rectangle (p. 3) | html | pdf |
- Fig. 1.1.2.2. Symmetry group 3m of an equilateral triangle (p. 3) | html | pdf |
- Fig. 1.1.2.3. Symmetry group 4mm of the square (p. 3) | html | pdf |
- Fig. 1.1.3.1. Subgroup diagram for the symmetry group 3m of an equilateral triangle (p. 4) | html | pdf |
- Fig. 1.1.3.2. Subgroup diagram for the symmetry group 2mm of a rectangle (p. 5) | html | pdf |
- Fig. 1.1.3.3. Subgroup diagram for the symmetry group 4mm of the square (p. 5) | html | pdf |
- Fig. 1.1.5.1. Symmetry group of an eightfold star (p. 7) | html | pdf |
- Fig. 1.1.6.1. Schematic description of a homomorphism (p. 8) | html | pdf |
- Fig. 1.1.6.2. Cyclic group of order 6 embedded in the group of the unit circle (p. 8) | html | pdf |
- Fig. 1.1.7.1. Stabilizers in the symmetry group 4mm of the square (p. 10) | html | pdf |