example of multiply transitive
Evidently 2 implies 1. So suppose we have pairs of distinct points and . Then take , , and . As , and are linearly independent, just as and are. Therefore extending to a basis and to a basis , we know there is a linear transformation taking to – consider the change of basis matrix. Therefore is 2-transitive.
Note that the action of on is not faithful so we use instead .
|Title||example of multiply transitive|
|Date of creation||2013-03-22 17:21:56|
|Last modified on||2013-03-22 17:21:56|
|Last modified by||Algeboy (12884)|