A binary operator representing semidirect products of groups or crossed product operations in algebra.
Examples
Semidirect product of groups
G \rtimes H \text{ denotes the semidirect product of groups G and H}
Specific group semidirect product example
\mathbb{R}^n \rtimes O(n) \text{ is the group of rigid motions}
Action of a group on a set
X \rtimes G \text{ represents the action of group G on set X}