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Someone Else: 12:20, 1 July 2007 (EST) I fixed the proof a couple of days ago. I don't think this entry qualifies as a stub anymore, as it now includes a full proof. I'm dropping the PlanetMath citations, as it also doesn't really incorporate information unique to PlanetMath. The statement of the
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The two "Examples" sections read like exercises from a problem sheet. I don't see what they add to the article. They are currently marked for improvement with citations, but I would prefer to *replace* them with citations, if they remain in the article at all.
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At this point in the proof, H is a finite abelian group of order relatively prime to p, so there are integers u,v such that 1 = |H|u + pv. By
Lagrange, a^(|H|u) is the identity, so a=a^1=a^(pv), so let b=a^v.
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By following the link to the Sylow theorems, you find a statement of Sylow's first theorem that is consistent with the one given here.
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Someone Else: 18:28, 28 June 2007 (EST) At the end of the first paragraph of the proof, I'm not clear why
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Someone Else: 18:28, 28 June 2007 (EST) At the end of the first paragraph of the proof, I'm not clear why
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I found that part of the proof unobvious as well, and it also wasn't obvious to me why
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