| Autor: |
Abhilash, N., Nandakumar, E., Mittal, G., Sharma, R. K. |
| Předmět: |
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| Zdroj: |
Palestine Journal of Mathematics; 2024, Vol. 13 Issue 2, p160-171, 12p |
| Abstrakt: |
In this paper, we determine the structure of the unit groups of the semisimple group algebras of non-metabelian groups of order 144. Up to isomorphism, there are 197 non-isomorphic groups of order 144, and only 28 are non-metabelian. Mittal and Sharma [19] studied the unit groups of the semisimple group algebras of non-metabelian groups of order 144 that have exponent either 36 or 72. In this work, we characterize the unit groups of the group algebras of non-metabelian groups of order 144 having exponent 12 and 24. This paper completes the study of the unit groups of the group algebras of non-metabelian groups up to order 144. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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