NORMALIZER

normalizer, normaliser

(noun) a person who normalizes

Source: WordNet® 3.1

Etymology

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 $\backslash (S\backslash )$ of group $\backslash (G\backslash )$ is the subset $\backslash (N(S)\; =\; \backslash \{g\; \backslash in\; G\; |\; g^\{-1\}S\; g\; =\; S\backslash \}\backslash )$, so that $\backslash (S\backslash )$ would be a normal subgroup if $\backslash (N(S)\backslash )$ were the whole group.

Source: Wiktionary

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