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bn:03269695n
Noun Concept
Categories: Group theory, Articles with short description
EN
conjugacy class  conjugation  class equation  Class number  conjugacy
EN
In mathematics, especially group theory, two elements a {\displaystyle a} and b {\displaystyle b} of a group are conjugate if there is an element g {\displaystyle g} in the group such that b = g a g − 1. Wikipedia
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EN
In mathematics, especially group theory, two elements a {\displaystyle a} and b {\displaystyle b} of a group are conjugate if there is an element g {\displaystyle g} in the group such that b = g a g − 1. Wikipedia
A partition of group into elements that share properties of a group. Wikipedia Disambiguation
A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation. Wiktionary
EN
For a given element x of some group G , its conjugacy class x G is { y ∈ G | ∃ g ∈ G : g − 1 x g = y } . Wiktionary
If a group acts on itself through conjugation, then its orbits are its conjugacy classes and its stabilizer subgroups are its centralizers. Wiktionary
IS A
orbit of a group action
Wikipedia
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conjugacy class
Wikidata
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conjugacy class
Wiktionary
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conjugacy class
Wikipedia Redirections
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class equation, Class number (group theory), conjugacy, conjugacy classes, conjugate (group theory), conjugate subgroup, Conjugate subgroups, conjugation (group), Cycle class
Wikidata Alias
EN
conjugacy classes

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