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(Solved): part(b) and part(c) 3. (a) Prove that there are no simple groups of order 132. (b) Give an exa ...



3. (a) Prove that there are no simple groups of order 132.
(b) Give an example of a group of order 132 without a normal Sylow

part(b) and part(c)

3. (a) Prove that there are no simple groups of order 132. (b) Give an example of a group of order 132 without a normal Sylow 2-subgroup. (c) Give an example of a group of order 132 without a normal Sylow 3-subgroup.


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Step1: The solution is below(a) We can use Sylow's Theorems to prove that there are no simple groups of order 132. B
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