How do I determine the domain name assigned to a feature class in a file geodatabase?

I have read many posts and articles about FME and geodatabase domains, and nowhere can I find any mention of reading the domain name. I can resolve the domain code for any given feature, getting the <attribute>_resolved value. I am pretty clear on how I have to go about extracting all of the domains in a geodatabase. Given a full domain definition, I can create the coded_value(...)-formatted native_data_type value for a schema feature; however, I can find no reference to how to extract the associated domain name for a feature class in an existing geodatabase, at least with pure FME. This seems nuts, and I feel I must be missing something fundamental. Anyone have any pointers here? Any help is much appreciated.