group-theory
The dihedral group Dₙ
taught
Taught in
-
The dihedral group Dₙ
Group Theory
Requires
- generators-of-a-group required
- symmetries-of-a-regular-n-gon required
-
matrix-multiplication
helpful
2x2 rotation/reflection matrices are one concrete model of D_n, not required to understand the abstract group.
Required by
- Dₙ as a subgroup of Sₙ required
- Molecular symmetry and point groups required
- Motivating group actions: groups that move things helpful
- Necklace and bracelet counting required
- Rotations and reflections as generators of Dₙ required
- Symmetry groups of regular polygons, in general required
Local knowledge map
Local knowledge map
Click to expand
Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.