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Centralizer of an Element (9/23 )

Centralizer of an Element (9/23 ). Definition. If G is a group and a ? G , the Centralizer of a , denoted C( a ), is { g ? G | a g = g a }. That is, it is the set of all elements of G which commute with the fixed element a . Determine the centralizers of all elements of D 4 .

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Centralizer of an Element (9/23 )