Real conjugacy class: Difference between revisions
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The term '''real conjugacy class''' is somewhat ambiguous and could refer to either of two things: | The term '''real conjugacy class''' is somewhat ambiguous and could refer to either of two things: | ||
* A [[conjugacy class]] of [[real element]]s, i.e., a conjugacy class with the property that every element in it is conjugate to its inverse. | * A [[conjugacy class]] of [[real element]]s, i.e., a conjugacy class with the property that every element in it is conjugate to its inverse. In this case we may also use the terminology '''self-inverse conjugacy class''', see the page [[self-inverse conjugacy class]] for information. | ||
* The union of a conjugacy class and its inverse, i.e., an equivalence class under the relation of being ''real-conjugate''. | * The union of a conjugacy class and its inverse, i.e., an equivalence class under the relation of being ''real-conjugate''. | ||
Latest revision as of 18:33, 7 November 2023
The term real conjugacy class is somewhat ambiguous and could refer to either of two things:
- A conjugacy class of real elements, i.e., a conjugacy class with the property that every element in it is conjugate to its inverse. In this case we may also use the terminology self-inverse conjugacy class, see the page self-inverse conjugacy class for information.
- The union of a conjugacy class and its inverse, i.e., an equivalence class under the relation of being real-conjugate.