Groups are private / unlisted. Users on Memrise cannot search for groups they haven't been invited to. However, please note that anyone with the link can join your group.
As a Group creator, you can invite other members either by inviting them via Memrise (i.e., by adding their username) or by sharing the direct link to the group with them.
To remove a member from your Group, simply hover over their username in the Members tab (while you are logged in on web), and click on the x icon.