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My problem is slightly convoluted: The resource from which I am mainly following, has not introduced Orbit Stabilizer Theorem and have gone for proving it(Sylow) in a highly complex way. In short: I have lost patience with it.

However I have gone through the results and would like to apply it, to solve a few simple problems on my own.

  1. Is it advisable?
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    The chapters/topics before the topic covering Sylow THeorem doesnt cover Orbit Stabilizer Theorem. Without this tool, they have gone for proving Sylow theorem in a highly convoluted way2012-09-27
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    It seems you are aware of other proofs. Why not just read up on orbit-stabilizer and then grab a different text for the proof of Sylow? Basically any algebra text (apparently aside from yours) should do the trick.2012-09-27

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