# ON THE SUBORBITS OF THE ALTERNATING GROUP $A_n$ ACTING ON ORDERED r-ELEMENT SUBSETS

 Title ON THE SUBORBITS OF THE ALTERNATING GROUP $A_n$ ACTING ON ORDERED r-ELEMENT SUBSETS Publication Type Journal Article Year of Publication 2015 Authors Gachimu, R, Kamuti, I, Nyaga, L, Rimberia, J Journal International Electronic Journal of Pure and Applied Mathematics Volume 9 Issue 3 Start Page 137 Pagination 12 Date Published 05/2015 Type of Article Scientific article ISSN 1314-0744 Keywords action, group, rank, subdegrees, suborbits Abstract Transitivity and primitivity of the action of the  alternating group $A_{n}$ on ordered $r-$element subsets of the set $X=\{1,2,\ldots,n\}$ 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. URL http://www.e.ijpam.eu/contents/articles/201500903003.pdf DOI 10.12732/iejpam.v9i3.3 Short Title ON THE SUBORBITS OF THE ALTERNATING GROUP ... Alternate Journal IeJPAM Refereed Designation Refereed