Cayley Table/Examples/Arbitrary Order 3 Structure

Example of Cayley Table

The Cayley table of an algebraic structure of order $3$ can be presented:

$\begin{array}{c|cccc}

\circ & a & b & c \\ \hline a & b & c & b \\ b & b & a & c \\ c & a & c & c \\ \end{array}$

Sources

• 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 4.1$. Binary operations on a set: Example $58$