dc.contributor.author | Setia, H. | |
dc.contributor.author | Khan, M. | |
dc.date.accessioned | 2022-06-25T11:30:33Z | |
dc.date.available | 2022-06-25T11:30:33Z | |
dc.date.issued | 2022-06-25 | |
dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/3585 | |
dc.description.abstract | Let Sn be the symmetric group and An be the alternating group on n symbols. In this article, we have proved that if F is a finite field of characteristic p > n, then there does not exist a normal complement of Sn (n is even) and An (Formula presented.) in their corresponding unit groups (Formula presented.) and (Formula presented.) Moreover, if F is a finite field of characteristic 3, then A 4 does not have normal complement in the unit group (Formula presented.) | en_US |
dc.language.iso | en_US | en_US |
dc.subject | alternating group | en_US |
dc.subject | finite field | en_US |
dc.subject | Group ring | en_US |
dc.subject | somorphism | en_US |
dc.subject | kronecker product | en_US |
dc.subject | normal complement | en_US |
dc.subject | representation | en_US |
dc.subject | unit group | en_US |
dc.title | The normal complement problem in group algebras | en_US |
dc.type | Article | en_US |