Group-theoretic Construction
Alternatively, the 7 points of the plane correspond to the 7 non-identity elements of the group (Z2)3 = Z2 × Z2 × Z2. The lines of the plane correspond to the subgroups of order 4, isomorphic to Z2 × Z2. The automorphism group of the group (Z2)3 is that of the Fano plane, and has order 168.
Read more about this topic: Fano Plane
Famous quotes containing the word construction:
“No construction stiff working overtime takes more stress and straining than we did just to stay high.”
—Gus Van Sant, U.S. screenwriter and director, and Dan Yost. Bob Hughes (Matt Dillon)
Related Phrases
Related Words