It seems that there are many ways to prove the Sylow theorems. I'd like to see a collection of them. Please write down or share links to any you know.
Proofs of Sylow theorems
9
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group-theory
reference-request
big-list
sylow-theory
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1Check out the early chapters of [Dixon & Mortimer](http://books.google.fi/books/about/Permutation_Groups.html?id=4QDpFN6k61EC&redir_esc=y) for a nice selection of proofs of basic facts about group theory. – 2012-06-22