Prove that for n>=3, if a is in S_n and commutes with every b in S_n, then a=(1)
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? Are matrix ?
Originally Posted by math2009 ? Are matrix ? No a and b are permutations in S_n. S_n being the symmetric group on n letters.
Last edited by mr fantastic; Feb 11th 2009 at 10:56 PM. Reason: Merged posts
Originally Posted by didact273 Prove that for n>=3, if a is in S_n and commutes with every b in S_n, then a=(1) let so there exist with since there exists such that now let then thus
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