Dih 4 Cayley Graph; generators b, c

Autor/Urheber:

Watchduck (a.k.a. Tilman Piesk)

Shortlink:

https://www.dewiki.de/b/da387

Quelle:

Wikimedia Commons

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300 x 201 Pixel (42230 Bytes)

Beschreibung:

One of the Cayley graphs of the dihedral group Dih₄

The blue edge represents permutation ${\displaystyle b={\mathit {7}}}$, and the pink edge represents permutation ${\displaystyle c={\mathit {21}}}$

The blue edge between ${\displaystyle {\mathit {2}}}$ and ${\displaystyle {\mathit {10}}}$ means that ${\displaystyle {\mathit {2}}\cdot b={\mathit {2}}\cdot {\mathit {7}}={\mathit {10}}}$ and ${\displaystyle {\mathit {10}}\cdot b={\mathit {10}}\cdot {\mathit {7}}={\mathit {2}}}$.

The pink edge between ${\displaystyle {\mathit {2}}}$ and ${\displaystyle {\mathit {23}}}$ means that ${\displaystyle {\mathit {2}}\cdot c={\mathit {2}}\cdot {\mathit {21}}={\mathit {23}}}$ and ${\displaystyle {\mathit {23}}\cdot c={\mathit {23}}\cdot {\mathit {21}}={\mathit {2}}}$.

There is also: left action last ⋅ first

This is: right action first ⋅ last

Lizenz:

Public domain

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