normalizer

English

normalize +‎ -er

normalizer (plural normalizers)

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

单词	normalizer
释义	normalizer English Etymology normalize +‎ -er Noun normalizer (plural normalizers) one who normalizes, fits to a norm or standard etc. (algebra) The subset of elements of some group which leave some given subset invariant when conjugating it. In symbols, the normalizer of some subset ${\\displaystyle S}$ of group ${\\displaystyle G}$ is the subset ${\\displaystyle N(S)=\\{g\\in G\|g^{-1}Sg=S\\}}$ , so that ${\\displaystyle S}$ would be a normal subgroup if ${\\displaystyle N(S)}$ were the whole group. Related terms normalization
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