[[Group theory MOC]]
# Point group

A **point group** is a group of [[isometry group|isometries]] with a fixed point. #m/def/group
Thus in [[Euclidean space]] $\mathbb{E}^n$, point groups are subgroups of the [[real orthogonal group]] $\mathrm{O}(n)$,
consisting of rotations, reflections, and inversions.


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#state/develop | #lang/en | #SemBr