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buzzmath
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Can anyone help me with these problems?
1. Find the number of conjugates of (1,2)(3,4) in Sn (the symmetric group of degree n) where n >= 4 and find the form of all elements commuting with (1,2)(3,4)in Sn.
2.If G is a group of order 231, prove that the 11-Sylow subgroup is in the center of G.
Thanks
1. Find the number of conjugates of (1,2)(3,4) in Sn (the symmetric group of degree n) where n >= 4 and find the form of all elements commuting with (1,2)(3,4)in Sn.
2.If G is a group of order 231, prove that the 11-Sylow subgroup is in the center of G.
Thanks