Alternating Groups that are Ambivalent
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This theorem requires a proof.
Seems related to the representation theory of alternating group.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
Theorem
Let $n$ be a natural number.
Then the $n$th alternating group $A_n$ is ambivalent if and only if $n\in \{1, 2, 5, 6, 10, 14\}$.
This sequence is A115200 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Proof
Seems related to the representation theory of alternating group.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
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