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arXiv · 2012.02942

The Automorphism Group of the Petersen Graph is Isomorphic to $S_5$

Japheth Wood
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Abstract

The automorphism group of the Petersen Graph is shown to be isomorphic to the symmetric group on 5 elements. The image represents the Petersen Graph with the ten 3-element subsets of $\{1, 2, 3, 4, 5\}$ as vertices. Two vertices are adjacent when they have precisely one element in common.

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Japheth Wood. 2020-12-05. The Automorphism Group of the Petersen Graph is Isomorphic to $S_5$. https://doi.org/10.4169/math.mag.89.4.267

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