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单词 centralizer
释义
centralizer

Mathematics
  • The centralizer CG(a) of an element a in a group G is

    CG(a)={gG:ga=ag}.

    It is a subgroup of G and

    |CG(a)|×|C(a)|=|G|,

    where C(a) denotes the conjugacy class of a. More generally, for a subset SG, then

    CG(S)={gG:gs=sgforallsS}.

    Compare normalizer.


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