Dihedral Group is Group
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Let $D_n$ be the dihedral group of order $2 n$.
Then $D_n$ is indeed a group.
$D_n$ is by definition the symmetry group of the regular $n$-gon.
The result follows from Symmetry Group is Group.
- 1966: Richard A. Dean: Elements of Abstract Algebra ... (previous) ... (next): $\S 1.8$