Suborbital Graphs and their properties for unordered pairs in An(n=5,6,7,8) through rank and subdegrees determination’’

Kinyanjui, J. N. 1Musundi, S. W. 2*Rimberia, J. 3Mwenda, E. 4Ruto, P. K. 52020-10-022020-10-022013-12-18International Research Journal of Pure Algebra -3(12), 2013 , 362 -3692248–9037https://www.academia.edu/7370036/http://repository.chuka.ac.ke/handle/chuka/954In this paper, through computation of the rank and subdegrees of alternating group ( =5,6,7) on unordered triples we construct the suborbital graphs corresponding to the suborbits of these triples. When ( ≥ 5) acts on unordered pairs the suborbital graphs corresponding to the non-trivial suborbits are found to be connected, regular and have undirected edge except when n=6. Further, we investigate properties of the suborbital graphs constructed.enRankSubdegreesUnordered Triple of an Alternating Group and Suborbital GraphsSuborbital Graphs and their properties for unordered pairs in An(n=5,6,7,8) through rank and subdegrees determination’’Article