Centralizer: meaning, definitions and examples
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centralizer
[ ˈsɛntrəˌlaɪzər ]
mathematics
A centralizer is a subgroup of a group that commutes with every element of the group.
Synonyms
commutator, normalizer, stabilizer
Examples of usage
- The centralizer of an element in a group is the set of elements that commute with that element.
- The centralizer of the identity element in a group is the whole group itself.
Translations
Translations of the word "centralizer" in other languages:
🇵🇹 centralizador
🇮🇳 केंद्रक
🇩🇪 Zentralisierer
🇮🇩 sentralisator
🇺🇦 централізатор
🇵🇱 centralizer
🇯🇵 セントラライザー
🇫🇷 centralisateur
🇪🇸 centralizador
🇹🇷 merkezleyici
🇰🇷 중앙화 장치
🇸🇦 مركز
🇨🇿 centralizátor
🇸🇰 centralizátor
🇨🇳 中央集权者
🇸🇮 centralizator
🇮🇸 miðstýringartæki
🇰🇿 орталықтандырушы
🇬🇪 ცენტრალიზატორი
🇦🇿 mərkəzləşdirici
🇲🇽 centralizador
Etymology
The term 'centralizer' in mathematics originated from the concept of centralizing elements in a group. It has applications in group theory, algebra, and other branches of mathematics.
See also: centralise, centralize, centralized, centralizing, decentralization.