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normalizers
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Definitions of normalizers in various dictionaries:
noun - a person who normalizes
NORMALIZERS - In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute ...
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| Plural form of normalizer. |
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In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute with each element of S, and the normalizer of S are elements that satisfy a weaker condition. The Centralizer and normalizer of S are subgroups of G, and can provide insight into the structure of G. * The definitions also apply to monoids and semigroups. * In ring theory, the centralizer of a subset of a ring is defined with respect to the semigroup (multiplication) operation of the ring. The centralizer of a subset of a ring R is a subring of R. This article also deals with centralizers and normalizers in Lie algebra. * The idealizer in a semigroup or ring is another construction that is in the same vein as the centralizer and normalizer. |