Solving class equation xd = β in an alternating group for all n ∈ θ & β ∈ Hn ∩ C∝
Joint Authors
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 16, Issue 0 (31 Oct. 2014), pp.38-45, 8 p.
Publisher
University of Bahrain College of Science
Publication Date
2014-10-31
Country of Publication
Bahrain
No. of Pages
8
Main Subjects
Topics
Abstract EN
In this paper we find out the solutions to the class equation xd= b in the alternating group An for each b 2 Hn \ Ca and n 2 h= {1, 2, 5, 6, 10, 14}, where b ranges over the conjugacy class A(b) in An and d is a positive integer number, Hn = {Ca of Sn OEn> 1, with all parts ak of a different and odd}, Ca is conjugacy class of Sn and form each conjugacy class Ca depends on the cycle partition a of its elements.
In another direction, for any permutation k in the symmetric group Sn, if k 2 Ca and k R Hn \ Ca, then Ca does not split into the two classes Ca± of An.Moreover, in the present research, the number of solutions is determined and this current work is supported by examples.
American Psychological Association (APA)
Mahmud, Shukr& Rajah, Andrew. 2014. Solving class equation xd = β in an alternating group for all n ∈ θ & β ∈ Hn ∩ C∝. Arab Journal of Basic and Applied Sciences،Vol. 16, no. 0, pp.38-45.
https://search.emarefa.net/detail/BIM-409975
Modern Language Association (MLA)
Mahmud, Shukr& Rajah, Andrew. Solving class equation xd = β in an alternating group for all n ∈ θ & β ∈ Hn ∩ C∝. Arab Journal of Basic and Applied Sciences Vol. 16 (Oct. 2014), pp.38-45.
https://search.emarefa.net/detail/BIM-409975
American Medical Association (AMA)
Mahmud, Shukr& Rajah, Andrew. Solving class equation xd = β in an alternating group for all n ∈ θ & β ∈ Hn ∩ C∝. Arab Journal of Basic and Applied Sciences. 2014. Vol. 16, no. 0, pp.38-45.
https://search.emarefa.net/detail/BIM-409975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 45
Record ID
BIM-409975