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Jump to navigationJump to search→Symmetric Group S<sub>3</sub>: format table
===Symmetric Group S<sub>3</sub>===
===Symmetric Group S<sub>3</sub>===
<br>
<br>
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; text-align:center; width:90%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; text-align:center; width:90%"
|+ <math>\text{Permutations or Substitutions in}~ \operatorname{Sym} \{ \mathrm{A}, \mathrm{B}, \mathrm{C} \}</math>
|+ <math>\text{Permutation Substitutions in}~ \operatorname{Sym} \{ \mathrm{A}, \mathrm{B}, \mathrm{C} \}</math>
|- style="background:#f0f0ff"
|- style="background:#f0f0ff"
| width="16%" | <math>\operatorname{e}</math>
| width="16%" | <math>\operatorname{e}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{C} & \mathrm{A} & \mathrm{B}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{B} & \mathrm{C} & \mathrm{A}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{A} & \mathrm{C} & \mathrm{B}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{C} & \mathrm{B} & \mathrm{A}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|
|
<math>\begin{matrix}
<math>\begin{matrix}
\mathrm{A} & \mathrm{B} & \mathrm{C}
\\[4pt]
\\[3pt]
\downarrow & \downarrow & \downarrow
\\[4pt]
\\[6pt]
\mathrm{B} & \mathrm{A} & \mathrm{C}
\\[4pt]
\end{matrix}</math>
\end{matrix}</math>
|}
|}
