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Monday, June 2, 2008

Algebraic Graph Theory

I am interested in graphical representations of finite groups. Today I discovered that...

"For every finitely generated group G there exists a graph X such that the automorphism group of X, Aut(X) is isomorphic to G."

An interesting theorem. Well, I thought so anyway. Just had to be. All based on my intuition.

The branch of mathematics which studies this area is called Algebraic Graph Theory.

1 comment:

  1. Hi, I am slowly trying to reorganize and solidify
    "The Matrices of Pascal and Other Greats"
    AMM March 2001
    There are several other articles in the AMM that deal with the same subject. For some reason I am fascinated with the subject and process. I think they might be missing some pertinent connections.
    OTOH: perhaps it's my ignorance that's showing.



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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)