Projective Linear Group - Larger Groups

Larger Groups

The projective linear group is contained within larger groups, notably:

  • Projective semilinear group, PΓL, which allows field automorphisms.
  • Cremona group, of birational automorphisms; any biregular automorphism is linear, so PGL coincides with the group of biregular automorphisms.

Read more about this topic:  Projective Linear Group

Famous quotes containing the words larger and/or groups:

    ... religious experience, as we have studied it, cannot be cited as unequivocally supporting the infinitist belief. The only thing that it unequivocally testifies to is that we can experience union with something larger than ourselves and in that union find our greatest peace.
    William James (1842–1910)

    Writers and politicians are natural rivals. Both groups try to make the world in their own images; they fight for the same territory.
    Salman Rushdie (b. 1947)