normalizer

English

Etymology

normalize +‎ -er

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

Related terms

• normalization

Translations

set of group elements leaving a given subset invariant under conjugation

• German: Normalisator m