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http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/3585| Title: | The normal complement problem in group algebras |
| Authors: | Setia, H. Khan, M. |
| Keywords: | alternating group finite field Group ring somorphism kronecker product normal complement representation unit group |
| Issue Date: | 25-Jun-2022 |
| 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.) |
| URI: | http://localhost:8080/xmlui/handle/123456789/3585 |
| Appears in Collections: | Year-2022 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Full Text.pdf | 785.19 kB | Adobe PDF | View/Open Request a copy |
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