Purpose of Hyper-V Administrators domain group

Hello,

I was wondering what is the purpose of the Hyper-V Administrators group within the domain, since a user has to be in the local group to have access to a Hyper-V server management?

I tried to add a user to the domain group hoping the Hyper-V server would accept the user, without having to log on locally and add it to the local group, but after waiting and running gpupdate, the user was not accepted to connect via Hyper-V Manager tool.

Thanks, Dominic