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Product of conjugacy classes of the alternating group An
Other Title(s)
حول ضرب صفوف التكافؤ بالزمرة المتناوبة An
Author
Source
Issue
Vol. 9, Issue 3 (30 Sep. 2012), pp.565-568, 4 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2012-09-30
Country of Publication
Iraq
No. of Pages
4
Main Subjects
Topics
Abstract AR
يعرف حاصل ضرب عناصر المجموعة الجزئية X في الزمرة G على أنه Xm = {m = 1 xi : xi x} صف التكافؤ Cn في الزمرة المتناظرة Sn عندما تكون n عدد فردي يتجزأ إلى جزئين في الزمرة المتناوبة An يرمز لهذين الجزئين C-n, C+n استخدمنا C-, C+ لهذين النوعين من الصفوف في هذا البحث تم التوصل إلى أن : = An n 7 C is the class of 5- cycle of SnC n-3 / 2 An exceptional of I(I identity conjugacy class) when n =5+4k K > = 0 = C+ C-
Abstract EN
For a nonempty subset X of a group G and a positive integer m, the product of X, denoted by Xm, is the set Xm = m I i i x x X 1 : That is, Xm is the subset of G formed by considering all possible ordered products of m elements form X.
In the symmetric group Sn, the class Cn (n odd positive integer) split into two conjugacy classes in an denoted Cn + and Cn -.
C+ and C- were used for these two parts of Cn.
This work we prove that for some odd n, the class C of 5- cycle in Sn has the property that 2 n3 C = An n 7 and C+ has the property that each element of C+ is conjugate to its inverse, the square of each element of it is the element of C-, these results were used to prove that C + C- = An exceptional of I (I the identity conjugacy class), when n = 5 + 4k , k > = 0.
American Psychological Association (APA)
Rahif, Lamya Hasan. 2012. Product of conjugacy classes of the alternating group An. Baghdad Science Journal،Vol. 9, no. 3, pp.565-568.
https://search.emarefa.net/detail/BIM-316771
Modern Language Association (MLA)
Rahif, Lamya Hasan. Product of conjugacy classes of the alternating group An. Baghdad Science Journal Vol. 9, no. 3 (2012), pp.565-568.
https://search.emarefa.net/detail/BIM-316771
American Medical Association (AMA)
Rahif, Lamya Hasan. Product of conjugacy classes of the alternating group An. Baghdad Science Journal. 2012. Vol. 9, no. 3, pp.565-568.
https://search.emarefa.net/detail/BIM-316771
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 567-568
Record ID
BIM-316771