Finding new Mathematical structures is not just fun, that knowledge needs to be shared.
Something that has not been straightforward is the naming of groups.
At least two of these groups have new structures that are not isomorphic to any existing cyclic group.
They will eventually obtain a generally agreed name, however in the meantime the question of naming needed an answer
Started out using just capital letter and then found that I had used up A, B, E, F, J, K, L, M, P, R, T, U, V, W, X, Y
Some of those letters may already be used by convention for other things. What to do?
First attempt at a unique naming scheme that was not single letters resulted in long names.
Second attempt resulted in group names prefixed by 3 letters.
In your own papers you are free to use whatever of those naming schemes are a best fit or perhaps just G and S or something in keeping with your other Abstract Algebra papers.
In a table, those names look like the following:
One of the things I tried to consider is the group name as part of an individual paper, or a group name as part of a wider context.
Both have advantages.
“The monty and pony papers” is just a light hearted concatenation of interim names for what was T and Y
For an alternative to using [unique] names to groups you could use sturdy element notation as the following example illustrates.
For referencing any of the group entries in Y you simply need to add a t=number suffix to the notation below:
