So let's say that I have a group of order $p$, where p is prime; does that group only have one subgroup?
I've look at the wiki article and it says there's a trivial and actual solution, so can we somewhat say it is only one group that exists.
I apologize if I am misinterpreting this.
Thanks for the time and help.
A group of order $p$ has $2$ subgroups: the trivial subgroup and the entire group.