ose a Let X be a finite set with at least two elements. Suppose group Gr acti transitively on X. Then there exists at least gEG. that does not fix any one element dement of x. show that finiteness of X is a necessary condition for this

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A: To check if D5×ℤ12≅S5 oS5=5!=120 oD5=2×5=10oℤ12=12oD5×ℤ12=10×12=120 Order of both the groups are…

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Q: let n be a fixed natural number.Verify that the set  n.Z={n.k l kEZ} is a group of (Z,+).

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