Grundzüge der Algebra (WS2005/06)

Die Gruppe (Δ_{3}, ·)

Δ_{3} = {M_{0}, M_{1}, M_{2}, M_{3}, M_{4}, M_{5}} ⊆ M_{2}IR

M_{0} = D(0) = ( \begin{matrix}1 & 0 \\ 0 & 1 \end{matrix} ) , M_{1} = D(\frac{2π}{3} ) , M_{2} =

D(\frac{4π}{3} ) , M_{3} = S(\frac{4π}{3} ) , M_{4} = S(\frac{2π}{3} ) , M_{5} = S(0)

Gruppentafel von (Δ_{3}, ·):

\begin{matrix}· & M_{0} & M_{1} & M_{2} & M_{3} & M_{4} & M_{5} \\ M_{0} & M_{0} & M_{1} & M_{2} & M_{3} & M_{4} & M_{5} \\ M_{1} & M_{1} & M_{2} & M_{0} & M_{5} & M_{3} & M_{4} \\ M_{2} & M_{2} & M_{0} & M_{1} & M_{4} & M_{5} & M_{3} \\ M_{3} & M_{3} & M_{4} & M_{5} & M_{0} & M_{1} & M_{2} \\ M_{4} & M_{4} & M_{5} & M_{3} & M_{2} & M_{0} & M_{1} \\ M_{5} & M_{5} & M_{3} & M_{4} & M_{1} & M_{2} & M_{0} \end{matrix}