- #1
lintmintskint
Hi, so I have just a small question about cyclic groups. Say I am trying to show that a group is cyclic. If I find that there is more than one element in that group that generates the whole group, is that fine? Essentially what I am asking is that can a cyclic group have more than one generator?
For example in the group ℤ_{14}^{*} = {1,2,5,9,11,13}, both 3 and 5 are generators. So is this ok to say that this group is cyclic?
For example in the group ℤ_{14}^{*} = {1,2,5,9,11,13}, both 3 and 5 are generators. So is this ok to say that this group is cyclic?