``Transitivity Action of An(n=5,6,7,8) On Unordered and Ordered Pairs’’

Sitati, N. IKinyanjui, J.NMusundi, S.WRimberia, J.Makila, P.2020-10-022020-10-022013-09International Journal of Mathematical Archive 4(9), 2013, 1-2.http://localhost:8080/xmlui/handle/1/136http://repository.chuka.ac.ke/handle/chuka/961In this paper, we study some transitivity action properties of the alternating group 𝐴𝑛(𝑛=5,6,7 ,8) acting on unordered and ordered pairs from the set 𝑋𝑋 = {1,2,…,𝑛𝑛} through determination of the number of disjoint equivalence classes called orbits. When 𝑛𝑛≤ 8, the alternating group acts transitively on both X (2) and X[2]. Mathematics Subject Classification: 20BO5, 06A75, 06F15.en``Transitivity Action of An(n=5,6,7,8) On Unordered and Ordered Pairs’’Article