Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section II, G

Groups, Rings and Modules | Part IB, 2018

(a) State Sylow's theorems.

(b) Prove Sylow's first theorem.

(c) Let GGG be a group of order 12. Prove that either GGG has a unique Sylow 3-subgroup or G≅A4G \cong A_{4}G≅A4​.

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