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DC Field | Value | Language |
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dc.contributor.author | Setia, H. | - |
dc.contributor.author | Khan, M. | - |
dc.date.accessioned | 2021-10-24T06:37:54Z | - |
dc.date.available | 2021-10-24T06:37:54Z | - |
dc.date.issued | 2021-10-24 | - |
dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/3114 | - |
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 ðn 4Þ in their corresponding unit groups UðFSnÞ and UðFAnÞ: Moreover, if F is a finite field of characteristic 3, then A4 does not have normal complement in the unit group UðFA4Þ: | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Group ring | en_US |
dc.subject | finite field | en_US |
dc.subject | isomorphism | en_US |
dc.subject | representation; unit group | en_US |
dc.subject | normal complement | en_US |
dc.subject | kronecker product | en_US |
dc.subject | alternating group | en_US |
dc.title | The normal complement problem in group algebras | en_US |
dc.type | Article | en_US |
Appears in Collections: | Year-2021 |
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