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Coveing Therem for the Alternating Group An | ||
| Journal of College of Education | ||
| Article 1, Volume 0, Issue 5, 2017, Pages 385-389 | ||
| Author | ||
| Lamia Hassan Raheef | ||
| Abstract | ||
| The product oftwo subsets C,K of a group G is deflned as CK={xyl X ⊆〕,y ⊆| 勁e power of Cm is deflned inductively by cl=c,c2=cc,cm=CCm~1=Cm‐ lC. The smallest integer in such that G ⊂ Cm is called exponent of C or some times referred as Cm covers G. In this paper the cottugaCy class C ofthe symmetric gЮ up Sn(n Odd) oftype 3-cycle is studied,and the following results are obtained: 1-CC covers A5 C iS the cottugacy class oftype 313 2-CCC covers A7 C iSthe cottugacy class oftype 314 3-CI崚〕covers An C iSthe cottugacy Class oftype 31n3 n Odd 4-CC includcs the cottugaCy Class oftype 221n4 here we callit K | ||
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