Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

3.II.11G

Groups, Rings and Modules | Part IB, 2007

(i) State the Sylow theorems for Sylow ppp-subgroups of a finite group.

(ii) Write down one Sylow 3-subgroup of the symmetric group S5S_{5}S5​ on 5 letters. Calculate the number of Sylow 3-subgroups of S5S_{5}S5​.

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