- #1
BraedenP
- 96
- 0
Homework Statement
Basically, everything's in the title. I'm asked to find the number of pairwise non-isotopic Latin Squares.
Homework Equations
A non-isotopic Latin Square is one that cannot be created simply by permuting the rows/columns of another Latin Square.
The Attempt at a Solution
I also know that there is at least one (because having the first row and column as {1,2,3,4} will prevent permutation back to that same sequence.) However, I'm not quite sure how one would go about finding the rest (there are over 500 Latin Squares with an order of 4, so I'm not about to go trying them all; there must be a logical way to approach this.
(Also, what is a *pairwise* Latin Square?)
This is a Logic course, so I'm able to use induction, etc. to prove this. Just not quite sure where to start. Guidance would be awesome!