Question

the group z8=(0,1,2,3,4,5,6,7) under congruence modulo 8 addition is cyclic. what are the generators of this group

Answer 1

theorem:
The generators for the cyclic groups Z8 is given by the set
of integers which are relatively prime to 8.
Z8 = < 1 >=< 3 >=< 5 >=< 7 >

Answer 2

thanks