| UNITS OF THE SEMISIMPLE GROUP ALGEBRAS OF GROUPS OF ORDER 162 |
| N. Abhilash, E. Nandakumar, G. Mittal, R. K. Sharma |
Abstract In this paper, we consider all the non-metabelian groups of order $162$ and characterize the structure of the unit group of the corresponding group algebras. Overall, there are $55$ non-isomorphic groups having order $162$ and $11$ among them are non-metabelian. We study the unit group of the semisimple group algebras over any finite field whose characteristic does not divide the order of these eleven groups.
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Keywords: Finite field; group algebra; unit group; non-metabelian groups. |
MSC: 16U60, 20C05 |
DOI: 10.57016/MV-0dhsTT7h |
Pages: 79--94 |
Volume 77 , Issue 1 , 2025 |
