If you are on a Solaris LDOM and you want to find out what the Control LDOM is :-
virtinfo -a
Domain role: LDoms guest I/O
Domain name: myserver-p1
Domain UUID: 06a4456da-76e0-4aa9-a0ef-ebc64ed0aada
Control domain: mycontrolldom
Chassis serial#: 1223BEZ6RRE
So the above shows it to be a guest LDOM called myserver-p1 and the Control LDOM is mycontrolldom
Use can aslo just use virtinfo -c to just return the Control domain