Jordan’s theorem (multiply transitive groups)

Let G be a sharply n-transitiveMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath permutation groupMathworldPlanetmath, with n4. Then

  1. 1.

    G is similar to Sn with the standard action or

  2. 2.

    G is similar to An+2 with the standard action or

  3. 3.

    n=4 and G is similar to M11, the Mathieu groupMathworldPlanetmath of degree 10 or

  4. 4.

    n=5 and G is similar to M12, the Mathieu group of degree 11.

Title Jordan’s theorem (multiply transitive groups)
Canonical name JordansTheoremmultiplyTransitiveGroups
Date of creation 2013-03-22 13:16:42
Last modified on 2013-03-22 13:16:42
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 6
Author bwebste (988)
Entry type Theorem
Classification msc 20B20