Definition:Conjugacy Class
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Definition
The equivalence classes into which the conjugacy relation divides its group into are called conjugacy classes.
The conjugacy class of an element $x \in G$ can be denoted $\operatorname{C}_x$.
Some authors use the notation $\operatorname{cl} \left({x}\right)$, but this can be confused with the notation for closure in the context of topology, so its use is not recommended.
Sources
- Allan Clark: Elements of Abstract Algebra (1971)... (previous)... (next): $\S 51$
- Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 48$
