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Algebraists have proven (using more advanced techniques than ones we’ve discussed) that An is a simple...

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Advance Math

Algebraists have proven (using more advanced techniques thanones we’ve discussed) that An is a simple group for n ? 5.

Using this fact, prove that for n ? 5, An has no subgroup oforder n!/4 .

c) Prove that Sn is not simple for n ? 3.

d) Is GL(2, R) a simple group? Prove your claim.

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