The Relation Between the Alternating Group and Standard Row Young’s Diagrams
Section: Research Paper
Abstract
This study tackles the relationship between the alternating group 14An"> and youngsdiagrams concerning standard rows. The study has been divided into two stages First, even permutations have been found depending on the conception of partition 14"> through formulating an algorithm for this purpose. Secondly, the relationship between the cycle length and partition 14"> has been found. 14 .1"> Introduction: Let 14n"> be a non-negative integer, a composition 14 "> of 14n"> is a sequence 14 =1 ,2, r "> of non-negative integers such that 14 =j=1rj =n"> , [5]. For example, if 14n=4"> , the following sequences are compositions: 144, 3,1, 2,2, 1,3,2,1,1,1,2,1,1,1,2,1,1,1,1"> .
References
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I. Matta Yacoob Ilham Matta, إلهام, H. H. Sami H. Sami, هدیل, M. Kassim Ahmed, and محمد, “The Relation Between the Alternating Group and Standard Row Young’s Diagrams”, EDUSJ, vol. 28, no. 1, pp. 90–105, Mar. 2019.
