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Question

`ZZ_2(alpha)`has a total of 14 subgroups, and has 7 subgroups of order 4.
The set `S_8 = {0 , 1 , alpha , 1 + alpha}` is a subgroup of order 4. Which is true of A) or B):
A) The generator set of `S_8` is `langle alpha rangle`.
B) The generator set of `S_8` is `langle 1 , alpha rangle` ?