Question

Consider the group A4. Can someone explain to me why these are elements of A4? (123)...

Consider the group A4. Can someone explain to me why these are elements of A4?

(123)

(132)

(124)

(142)

(134)

(143)

(234)

(243)

All elements in A4 have to be written as even # of transpositions, (12)(34) is obvious but not sure why the above are elements. Please explain! thanks

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