Centralizer: meaning, definitions and examples

⚙️

Add to dictionary

centralizer

[ ˈsɛntrəˌlaɪzər ]

^{Context #1}

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

Word origin

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.