(a) Use Sylow's Theorem (Extended Version) to prove that every group of order 6 has

Chapter 58, Problem 58.11

(choose chapter or problem)

(a) Use Sylow's Theorem (Extended Version) to prove that every group of order 6 has onlyone subgroup of order 3.(b) Give an example of a group of order 6 that has more than one subgroup of order 2.(c) Give an example of a group of order 6 that has only one subgroup of order 2.

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