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http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/3114| Title: | The normal complement problem in group algebras |
| Authors: | Setia, H. Khan, M. |
| Keywords: | Group ring finite field isomorphism representation; unit group normal complement kronecker product alternating group |
| Issue Date: | 24-Oct-2021 |
| 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: |
| URI: | http://localhost:8080/xmlui/handle/123456789/3114 |
| Appears in Collections: | Year-2021 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Full Text.pdf | 755.63 kB | Adobe PDF | View/Open Request a copy |
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