What does conjugacy mean?

Definitions for conjugacy
con·ju·ga·cy

This dictionary definitions page includes all the possible meanings, example usage and translations of the word conjugacy.


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Wiktionary

  1. conjugacynoun

    The condition or state of being conjugate.

Wikipedia

  1. conjugacy

    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 . {\displaystyle b=gag^{-1}.} This is an equivalence relation whose equivalence classes are called conjugacy classes. In other words, each conjugacy class is closed under b = g a g − 1 . {\displaystyle b=gag^{-1}.} for all elements g {\displaystyle g} in the group. Members of the same conjugacy class cannot be distinguished by using only the group structure, and therefore share many properties. The study of conjugacy classes of non-abelian groups is fundamental for the study of their structure. For an abelian group, each conjugacy class is a set containing one element (singleton set). Functions that are constant for members of the same conjugacy class are called class functions.

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Numerology

  1. Chaldean Numerology

    The numerical value of conjugacy in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of conjugacy in Pythagorean Numerology is: 9

Popularity rank by frequency of use

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"conjugacy." Definitions.net. STANDS4 LLC, 2024. Web. 24 Nov. 2024. <https://www.definitions.net/definition/conjugacy>.

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