Dipper Operation/Examples/(m, n) = (3, 4)/Cayley Table
Jump to navigation
Jump to search
Cayley Table for the Dipper Operation
The dipper operation $+_{3, 4}$ can be described by showing its Cayley table.
$\quad \begin{array}{r|rrrrrrr}
+_m & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
0 & 0 & 1 & 2 & 3 & 4 & 5 & 6
\\
1 & 1 & 2 & 3 & 4 & 5 & 6 & 3
\\
2 & 2 & 3 & 4 & 5 & 6 & 3 & 4
\\
3 & 3 & 4 & 5 & 6 & 3 & 4 & 5
\\
4 & 4 & 5 & 6 & 3 & 4 & 5 & 6
\\
5 & 5 & 6 & 3 & 4 & 5 & 6 & 3
\\
6 & 6 & 3 & 4 & 5 & 6 & 3 & 4
\\
\end{array}$
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text I$: Algebraic Structures: $\S 2$: Compositions: Exercise $2.8 \ \text{(a)}$