how to find all subgroups of z
Answers
Answered by
1
1All subgroups of a cyclic group are cyclic.
You always have the trivial subgroups, Z6Z6 and {1}{1}.
As with Lagrange you know their order has to divide the group order, all remaining possibilities are
Z2Z2 and Z3Z3 or to be exact the subgroups generated by 33 and 22 in order
You always have the trivial subgroups, Z6Z6 and {1}{1}.
As with Lagrange you know their order has to divide the group order, all remaining possibilities are
Z2Z2 and Z3Z3 or to be exact the subgroups generated by 33 and 22 in order
Similar questions