Hi @Steve Allen10 . If you want to promote a group as "Groups You might like", you can enable it from the Admin panel> Settings> Feed> "Group You Might Like Box"
However, if this group is a general group that you want everyone to be in that group by default, you can add the group as a default group17. This way, all the community user will see this group on the left-side navigation on their homepage view, under "My Groups" and they can easily access it anytime.
To link this group to a topic, please make sure all the posts you share in that group are also tagged with the "Community Tutorials" topic as well.