You are here

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

TitleON THE SUBORBITS OF THE ALTERNATING GROUP $A_n$ ACTING ON ORDERED r-ELEMENT SUBSETS
Publication TypeJournal Article
Year of Publication2015
AuthorsGachimu, R, Kamuti, I, Nyaga, L, Rimberia, J
JournalInternational Electronic Journal of Pure and Applied Mathematics
Volume9
Issue3
Start Page137
Pagination12
Date Published05/2015
Type of ArticleScientific article
ISSN1314-0744
Keywordsaction, group, rank, subdegrees, suborbits
Abstract

Transitivity and primitivity of the action of theĀ  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.

URLhttp://www.e.ijpam.eu/contents/articles/201500903003.pdf
DOI10.12732/iejpam.v9i3.3
Short TitleON THE SUBORBITS OF THE ALTERNATING GROUP ...
Alternate JournalIeJPAM
Refereed DesignationRefereed
Download pdf file: