permission inheritance

Is it possible to create a sub folder with more permissions than a top level folder?

Suppose I have the following:

GroupAFolder
--TeamAFolder
GroupBFolder
--TeamBFolder

I have have two logins, one for Team A, one for Team B.

With no permissions set on GroupAFolder or GroupBFolder, I give full permissions on Team A folder to Team A login and full permission to Team B folder to team B login. This works as expected and the users can login and drill down to their folder.

The issue is the users in Team B can see the GroupAFolder (but no sub folders) and can create items under GroupAFolder. TeamBFolder users can also create items in the GroupBFolder which I would prefer they not be able to.

If I create a new group, GroupB, and assign read only to TeamB login, and then set GroupBFolder to have GroupB permissions, TeamB users can no longer create items in their TeamBFolder. On the plus side, it prevents TeamA from seeing the GroupB folder.

I hope that makes sense and hopefully there’s a way to allow access in the way I described it.

Thanks