example of Latin squares
It is easily shown that the multiplication table (Cayley-table) of a group has exactly these properties and thus are Latin squares
. However the converse is not true, ie. not all Latin squares are multiplication tables for a group (the smallest counter example is a Latin square of order 5).
| Title | example of Latin squares |
|---|---|
| Canonical name | ExampleOfLatinSquares |
| Date of creation | 2013-03-22 13:06:41 |
| Last modified on | 2013-03-22 13:06:41 |
| Owner | jgade (861) |
| Last modified by | jgade (861) |
| Numerical id | 6 |
| Author | jgade (861) |
| Entry type | Example |
| Classification | msc 05B15 |