3.II.11G
Part IB, 2007
(i) State the Sylow theorems for Sylow -subgroups of a finite group.
(ii) Write down one Sylow 3-subgroup of the symmetric group on 5 letters. Calculate the number of Sylow 3-subgroups of .
3.II.11G
(i) State the Sylow theorems for Sylow -subgroups of a finite group.
(ii) Write down one Sylow 3-subgroup of the symmetric group on 5 letters. Calculate the number of Sylow 3-subgroups of .