Hector was the greatest hero of Troy, so Abed's decision to make that character for Troy didn't come out of nowhere.
In the episode, the study group runs through a campaign called Caverns of Draconis. In reality, it is not an actual trademarked D and D story. However, several enthusiasts on the website Reddit have plotted out a campaign for players to use if they wish.
Although Abed claims to be completely impartial, he allows Pierce to make use of information that is obviously obtained from reading the adventure. This goes against specific rules regarding "player knowledge" ; there are in fact rules in Dungeons and Dragons that determine what a character does and doesn't know in the game.
The narration over the episode bears a strong resemblance to Cate Blanchett's narration as Galadriel in the "Lord of the Rings" films. "The Lord of the Rings" literature was a major influence on Gary Gygax, the man who created Dungeons and Dragons.
This episode was removed from Netflix Canada in June 2020, reportedly due to Ken Jeong's appearance in black make-up. In the episode, Jeong's character wears the make-up and a wig during a game of Dungeons & Dragons to more closely resemble the dark elf Brutalitops the Magician, a character he portrays in the D&D. The episode was removed from the streaming service regardless.