Find the center of S3 and the centralizer of each element of S3

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Find the center of S3 and the centralizer of eachelement of S3

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The centralizer of every element of S3 is a subgroup of S3 soby Lagranges theorem it musthave order 1 2 3 or 6 Of course the centralizer of the identityelement is all of    See Answer
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