Abhilash, N. and Nandakumar, E. (2024) On the group of units of the semisimple group algebras of dimension 200. ANNALES MATHEMATICAE ET INFORMATICAE, 60. pp. 1-9. ISSN 1787-6117
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Official URL: http://doi.org/10.33039/ami.2024.11.001
Abstract
In this study, we examine the non-metabelian groups of order 200 and analyze the structure of the unit group within their corresponding group algebra. Among the fifty-two non-isomorphic groups of order 200, only two are non-metabelian. The paper focuses on characterizing the unit group of the semi-simple group algebras associated with these two groups over any finite field.
| Item Type: | Article |
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| Uncontrolled Keywords: | finite field, group algebra, unit group, non-metabelian groups |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 23 Jan 2025 13:18 |
| Last Modified: | 23 Jan 2025 13:27 |
| URI: | https://real.mtak.hu/id/eprint/214210 |
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