A set of directory-based technologies included in Windows Server.
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i have an AD security group lets say Test1 and i want to give user1 access to that AD group to modify the users within this AD group.
You cannot create a delegation this way. Permissions are inherited through containers such as domain or organizational units (OU). Not through groups. If you place all the members of this group under the same OU, then you can create the delegation you are looking for at the OU level and all users under will inherit the permissions.