ON THE SUBORBITS OF THE ALTERNATING GROUP $A_n$ ACTING ON ORDERED r-ELEMENT SUBSETS
Richard Kiriuki Gachimu, Ireri Kamuti, Lewis N. Nyaga, Jane Rimberia · International Journal of Pure and Apllied Mathematics · 2015
Transitivity and primitivity of the action of the alternating group An on ordered r−element subsets of the set X = {1, 2, . . . , n} of n letters are investigated in this paper. In addition, the rank and subdegrees of the action are calculated. Finally, some properties of the suborbits corresponding to this action are explored. AMS Subject Classification: 05E18