Category:Definitions/Symmetry Groups

This category contains definitions related to Symmetry Groups.
Related results can be found in Category:Symmetry Groups.

Let $P$ be a geometric figure.

Let $S_P$ be the set of all symmetries of $P$.

Let $\struct {S_P, \circ}$ be the algebraic structure such that $\circ$ denotes the composition of mappings.

Then $\struct {S_P, \circ}$ is called the symmetry group of $P$.