Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

3.I.1C

Groups, Rings and Modules | Part IB, 2005

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

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