A curved clockwise arrow symbol representing cyclic group actions, rotations, or circular processes in abstract algebra.
Examples
Cyclic group action
G \circlearrowright X \text{ denotes G acting on X}
Line integral around a closed curve
\oint_C F \cdot dr = \circlearrowright\int_C F \cdot dr
Rotation operator in physics
R_{\circlearrowright}(\theta) \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}