Crystallographic group

Definition

A space group (viz, subgroup of the group of isometries of $\mathbb {R} ^{n}$ is termed crystallographic if there exists a lattice in $\mathbb {R} ^{n}$, such that every element of the group takes the lattice to itself.

Related notions

• Crystallographic point group
• Wallpaper group: Crystallographic group in two dimensions