Thanks again for your quick reply!
It's checked, by default.
The only thing I can find in the User Manual is: "Enable Auto Resolve - Immediately resolves dependent geometry when changes are made".
As far as I understand that has nothing to do with moving a group of objects, or am I missing something?
"Resolving dependent geometry" sounds more like resolving the warnings I regularly get about geometry links etc, by going to Edit>Resolve Links... But if having that option checked by default, why am I getting warnings about the file having geometry links that require resolving before saving - should the program not "immediately resolve dependent geometry"?
Tried moving the group with and without "Enable Auto Resolve" checked. Makes no difference. In both cases I can "Translate" the position of the group, but do not get the four-way arrow pointer to drag it...