normalizer

English

Etymology

    From normalize + -er.

    Pronunciation

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    Noun

    normalizer (plural normalizers)

    1. One who or that which normalizes, fits to a norm or standard etc.
    2. (algebra) The subset of elements of some group which leave some given subset invariant when conjugating it.
      In symbols, the normalizer of some subset S of group G is the subset N(S)={g∈G|g−1Sg=S}, so that S would be a normal subgroup if N(S) were the whole group.

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