dc.contributor.author | Mahmood, Shuker | |
dc.contributor.author | Rajah, Andrew | |
dc.date.accessioned | 2018-07-29T07:49:16Z | |
dc.date.available | 2018-07-29T07:49:16Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1815-3852 | |
dc.identifier.uri | https://journal.uob.edu.bh:443/handle/123456789/1064 | |
dc.description.abstract | 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 | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of Bahrain | en_US |
dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Alternating group | |
dc.subject | Frobenius equation | |
dc.subject | Ambivalent groups | |
dc.subject | Conjugacy classes | |
dc.subject | Cycle type | |
dc.title | Solving class equation xd =b in an alternating group for all n 2 h & b 2 Hn \ Ca | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jaubas.2013.10.003 | |
dc.source.title | Arab Journal of Basic and Applied Sciences | |
dc.abbreviatedsourcetitle | AJBAS |