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2005-10.md

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course course_year question_number tags title year
Groups, Rings and Modules
IB
10
IB
2005
Groups, Rings and Modules
3.I.1C
2005

Define what is meant by two elements of a group $G$ being conjugate, and prove that this defines an equivalence relation on $G$. If $G$ is finite, sketch the proof that the cardinality of each conjugacy class divides the order of $G$.