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I don't it qualifies as OR as you can probably find a number of textbooks that have this argument. But it's such a simple fact that it certainly does not need its own page. This might be suitable for, say, some WikiBooks project on elementary group theory
339:--- We don't need a long page proving that 1 + 1 = 2 unless it makes some profound non-obvious point along the way. (If for some bizarre reason this is kept, the title should be changed to "proof that order-3 groups are cyclic" or something like that (
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The proof that works for all primes is a two-liner, so an article for even that is not necessary! (By Cauchy's
Theorem, there is no non-trivial subgroup; pick any non-identity element, and it generates the whole group. Therefore the group is cyclic.) -
93:. Devoting an article to proving that all groups of prime order are cyclic would be dubious, but devoting an article to the particular case of groups of order 3 is just silly. --
270:, but too trivial and specialized to be notable. The right generalization is that every group with prime order is cyclic, but that is already mentioned in appropriate detail in
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and follows immediately from the second sentence of the
Definitions section there. The title of the entry doesn't seem notable enough to redirect. —
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would apply, unless the proof is contained within some longer article that would explain to us mere mortals what it's supposed to mean.
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Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a
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The following discussion is an archived debate of the proposed deletion of the article below.
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The above discussion is preserved as an archive of the debate.
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from this particular discussion. However, I do think that
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Knowledge is not a collection of mathematical proofs (per
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I was the one who prod'ded it at first, thinking it was
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232:silly indeed; not a useful redirect.
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67:Order 3 groups are cyclic proof
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