| Title:
|
Structure of the unit group of the group algebras of non-metabelian groups of order 128 (English) |
| Author:
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Abhilash, Navamanirajan |
| Author:
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Nandakumar, Elumalai |
| Author:
|
Sharma, Rajendra Kumar |
| Author:
|
Mittal, Gaurav |
| Language:
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English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
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150 |
| Issue:
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1 |
| Year:
|
2025 |
| Pages:
|
1-23 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups. (English) |
| Keyword:
|
non-metabelian groups |
| Keyword:
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finite field |
| Keyword:
|
group algebra |
| Keyword:
|
unit group |
| MSC:
|
16U60 |
| MSC:
|
20C05 |
| DOI:
|
10.21136/MB.2024.0017-23 |
| . |
| Date available:
|
2025-02-20T16:07:46Z |
| Last updated:
|
2025-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152871 |
| . |
| Reference:
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