Permission for Microsoft.EventHub/namespaces/applicationGroups/* (any action) is not published

can't assign permission for Microsoft.EventHub/namespaces/applicationGroups/* (any action)

example :
Microsoft.EventHub/namespaces/applicationGroups/write

if you try to create a new application group via API without any permission, it comes back with below error

{
"error": {
"code": "AuthorizationFailed",
"message": "The client ''<>" with object id "<>'' does not have authorization to perform action 'Microsoft.EventHub/namespaces/applicationGroups/write' over scope '/subscriptions/<>/resourceGroups/EventHub/providers/Microsoft.EventHub/namespaces/<>/applicationGroups/<>' or the scope is invalid. If access was recently granted, please refresh your credentials."
}
}

however if you try to assign that permission, it comes back with below message

error message :
{
"error": {
"code": "InvalidActionOrNotAction",
"message": "'Microsoft.EventHub/namespaces/applicationGroups/write' does not match any of the actions supported by the providers."
}
}

Its same for all below action
ApplicationGroup_ListByNamespace
ApplicationGroup_CreateOrUpdateApplicationGroup
ApplicationGroup_Delete
ApplicationGroup_Get

The issue names the Microsoft.EventHub applicationGroups actions but no repository file or test. Start by locating the Event Hub application-groups definition in the REST API specs and compare its published operations with the listed actions. Done means the write, list, create/update, delete, and get permissions are recognized when assigned and no longer produce InvalidActionOrNotAction.

Written by the indexing model from the issue text.