Answer :
The class equation is if G is a nontrivial finite group whose order is a power of a prime p, is the centralizer of G, and is the centralizer of the element a. (1) Here, the sum runs over representatives of all conjugacy classes that have more than one element.
How can the class equation be found?
The commutativity degree, which indicates the likelihood that two members of a group will commute between themselves, is related to the class equation in group theory [3]. The definition is as follows: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
How can the equation for the class be found?
In group theory, there is a connection between the class equation and the commutativity degree, which indicates the likelihood that two members of a group will commute between themselves [3]. The following is the definition: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
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