Is there a way to prove generally that the Dihedral group and its corresponding Symmetric group of the same order are isormorphic. In class we were only shown a particular example, D3 (or D6 whatever you wish to use) and S3, and a contructed homomorphism, but how could you do it generally? Would you still have to construct a specific map and show that it's a bijective homomorphism? Or can you just simply show there exists at least one isomorphic map between the two?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dihedral and Symmetric Group

Loading...

Similar Threads for Dihedral Symmetric Group |
---|

I Spin group SU(2) and SO(3) |

I What is difference between transformations and automorphisms |

I Lorentz group representations |

I Splitting ring of polynomials - why is this result unfindable? |

A Tensor symmetries and the symmetric groups |

**Physics Forums | Science Articles, Homework Help, Discussion**