Some Wikipedia Articles on Group Theory

  I think part of the problem that I have been having in classifying the set of operations is that they do not comprise a simple set of objects. Mathematical subjects are partitioned and so we may only get a partial view of something that is by nature more complex. This list of Wikipedia articles may give a more complete picture.

Galois group

Group action (transformation group)

Class (set theory)

Classification theorem

simple groups

algebraic group

Coxeter group

But the articles in a sense seem to be talking around our transformation group for the magic squares. Part of the problem is abstraction or oversimplification or idealization rather than dealing with specific examples.