A brief history of study
Edops was named for the type species, Edops craigi​, by Romer (1936). The initial description is pretty brief and also in a journal that is very hard to come by (Problems of Paleontology). Following the publication of Edops, Romer set out to find more of this mysterious large temno in the redbeds of Texas, and basically hit jackpot that same year with a complete skull. Romer actually dubbed the specimen "Grandpa Bumps," and wrote a non-technical paper about the discovery of the specimen in 1943. It's probably worth noting that Romer intended the name to mean "swollen face," to refer to perceived, but as I understand it, the etymology does properly work out to "gluttonous face."

Anatomy
Other than Eryops, Edops is one of the largest terrestrial Paleozoic temnospondyls, with skulls exceeding half a metre in length and a body probably around 2 metres long. The name 'gluttonous face' refers to its large jaws, although it's a bit difficult to argue that they're appreciably larger than some other temnospondyls; as always, a healthy dose of salt is necessary. Compared to cochleosaurid edopoids, Edops does have a wider, more massively built skull. It is widely accepted to be a primitive temnospondyl based on features such as the presence of an intertemporal and small interpterygoid vacuities, with the pterygoid bones ('pt') meeting each other anterior to the vacuities. 

Edops also has a well-known neurocranium based on exceptionally detailed descriptions by Romer & Witter (1942) and the subsequent reconstruction of the endocast by Romer & Edinger (1942). The combination of their level of detail and the absence of substantial CT work on other temnos that often provides far superior detail to external anatomy for the braincase renders this still a very useful taxon for neurocranial anatomy in temnospondyls.