Transitivity Action of  𝑨𝒏(𝒏=𝟓,𝟔,𝟕,𝟖)  on Unordered and Ordered Pairs.

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Title:	Transitivity Action of 𝑨𝒏(𝒏=𝟓,𝟔,𝟕,𝟖) on Unordered and Ordered Pairs.
Authors:	Sitati, N. I Kinyanjui, J.N Musundi, S.W Rimberia, J. Makila, P.
Keywords:	Orbits, alternating group 𝐴𝐴𝑛𝑛, ordered and unordered pairs from the set 𝑋𝑋.
Issue Date:	Sep-2013
Citation:	Sitati N. I., Kinyanjui J. N., Musundi S. W., Rimberia J., Makila P.," Transitivity Action of 𝑨𝒏(𝒏=𝟓,𝟔,𝟕,𝟖) on Unordered and Ordered Pairs" in International Journal of Mathematical Archive-4(9),77-88,2013.
Abstract:	In 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.
Description:	This Article Contains References.
URI:	http://localhost:8080/xmlui/handle/1/136
ISSN:	2229 – 5046
Appears in Collections:	Journal Articles

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