Inverse Row form of Cayley Table for Group/Examples/S3
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Example of Inverse Row form of Cayley Table for Group
The Cayley table of the symmetric group on $3$ letters can be written in inverse row form as:
- $\begin{array}{c|cccccc}
\circ & e & p & q & r & s & t \\ \hline e & e & p & q & r & s & t \\ p^{-1} & q & e & p & t & r & s \\ q^{-1} & p & q & e & s & t & r \\ r^{-1} & r & t & s & e & q & p \\ s^{-1} & s & r & t & p & e & q \\ t^{-1} & t & s & r & q & p & e \\ \end{array}$
Sources
- 1964: Walter Ledermann: Introduction to the Theory of Finite Groups (5th ed.) ... (previous) ... (next): Chapter $\text {I}$: The Group Concept: $\S 5$: The Multiplication Table