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• 20:10, 3 March 2024 SunoBeta talk contribs created page Fermat's Little Theorem/Proof 5 (Created page with "== Theorem == {{:Fermat's Little Theorem}} == Proof == <onlyinclude> Let $S$ be a set of n elements, and consider $p$-tuples $\left( a_1, a_2, \dots, a_p \right)$ and consider the Definition:Group Action of these p-tuples by $\Z/p\Z$ via cyclic shifts. For example, if $S = \{ b, r, g \}$ and $p=5$, then $rgbgg$ is equivalent to $grgbg, ggrgb, bggrg, gbggr$. We use Burnside's Lemma, counting the number of elements fixed by each element of the group $\Z/p\Z$. No...")