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This group is a finite group defined as the symmetric group on a set of size 7 . The set is typically taken to be \{ 1,2,3,4,5,6,7 \ .
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Interpretation as symmetric group ; 1 + 1 + 1 + 1 + 1 + 1 + 1, seven fixed points, () -- the identity element ; 2 + 1 + 1 + 1 + 1 + 1, transposition, five fixed ...
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