Let p be a prime and let .
Prove that the only proper subgroups of are the finite cylic groups
Proof so far.
Suppose to the contrary that H is a subgroup of such that and . Now, suppose that , then . But how would I get a contradiction? Thanks.
Let p be a prime and let .
Prove that the only proper subgroups of are the finite cylic groups
Proof so far.
Suppose to the contrary that H is a subgroup of such that and . Now, suppose that , then . But how would I get a contradiction? Thanks.