Make all new files in a directory accessible to a group

Suppose I have two users Alice and Bob and a group GROUPNAME and a folder foo, both users are members of GROUPNAME (using Linux and ext3). If I save as user Alice a file under foo, the permissions are: -rw-r--r-- Alice Alice. However, is it possible to achieve that every file saved under some subdirectory of foo has permissions -rwxrwx--- Alice GROUPNAME (i.e. owner Alice, group GROUPNAME)?