Which of the following statements is true? (V is the Klein-4 group)
"=" represents isomorphic to.
(A) V = R4
(B) A3=R3
(C) A4=R12
(D) V =Z/4Z
(E) (Z; +) = (Q; +).
My answer was (A)..
Please help
I presume by `rotation group' you mean , the group of symmetries of a regular n-gon (Rn= ).
You are correct. What were your thinkings in the other questions? (Order arguments and pointing out cyclic groups when you see them will work). Can you prove your result? (prove that is abelian but not cyclic).