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  text: 'Let $n \\geq 3$. Then the [-4cy] on $n$ vertices, $D_{2n}$, is not [3h2 abelian].\n\n# Proof\n\nThe most natural dihedral group [group_presentation presentation] is $\\langle a, b \\mid a^n, b^2, bab^{-1} = a^{-1} \\rangle$.\nIn particular, $ba = a^{-1} b = a^{-2} a b$, so $ab = ba$ if and only if $a^2$ is the identity.\nBut $a$ is the rotation which has order $n > 2$, so $ab$ cannot be equal to $ba$.\n\n[todo: picture with the triangle]',
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