Please determine the all 2-subgroups of Z8.
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What have you tried yourself? Can write out the operation table for Z8?
Originally Posted by seventhson Please determine the all 2-subgroups of Z8. In fact have solved the question. I just want to check my solution.
Great! Tell us what your solution is and we will help you check it.
Originally Posted by HallsofIvy Great! Tell us what your solution is and we will help you check it. Ok. <2> group of order 4 <3> group of order 8 <4> group of order 2 <5> group of order 8 <6> group of order 4 <7> group of order 8 so they are all group of order p^n (n=1,2,3)
you missed <1> = Z_{8} (of order 8, of course), and <0>, of order 1.
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