I dont think the target audience for the blog is abstract algebra grad students
However would be good to add that the solution can be structural(like in NoPE), then you dont need explicit representations and it just falls out of your architecture.
When I see a title "Understanding..." I assume it will be about understanding theory not implementation or the theory of implementation. When I see a title "Surveying..." or "Understanding Implementation..." I assume it will be about surveying the implementation of that theory. There was just a title mismatch so I felt it was prudent to fill in the gap in understanding the blog did not cover.
Also, I expect the target audience of the blog is ML researchers, since he goes into some of the math, and umm... the kind of ML researcher that is not at least aware of the basics of abstract algebra is closer to an alchemist than a researcher.
However would be good to add that the solution can be structural(like in NoPE), then you dont need explicit representations and it just falls out of your architecture.
Also, I expect the target audience of the blog is ML researchers, since he goes into some of the math, and umm... the kind of ML researcher that is not at least aware of the basics of abstract algebra is closer to an alchemist than a researcher.
I don't expect a blog post to use the same phrasing as an academic article in several regards, including what you've described.