conjugacy class

noun

A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation.

“If a group acts on itself through conjugation, then its orbits are its conjugacy classes and its stabilizer subgroups are its centralizers.”

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Meanings

nounconjugacy class (plural conjugacy classes)

plural conjugacy classes

  1. error lua execalgebraA subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation.

    If a group acts on itself through conjugation, then its orbits are its conjugacy classes and its stabilizer subgroups are its centralizers.

Cite this entry
APA

conjugacy class. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/conjugacy%20class

MLA

“conjugacy class.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/conjugacy%20class. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “conjugacy class,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/conjugacy%20class.

Source: conjugacy class on Wiktionary, CC BY-SA 4.0.