Short answer: yes! Of course the group domain administrators is by default member of the local administrator group of any domain member.
Whether it is sensible to use that group for client administration is another question.
awawada
McKnife is correct there.
@LuiLui77
Do you really want to grant users as Domain Admins?
A Domain Admin is more than a local Administrator.
Windows Built-in Users and Default Groups http://ss64.com/nt/syntax-security_groups.html
LuiLui77
ASKER
Is just local administration of the client machines, not to domain or servers
Whether it is sensible to use that group for client administration is another question.