| Title:
|
On the unit group of a semisimple group algebra $\mathbb {F}_qSL(2, \mathbb {Z}_5)$ (English) |
| Author:
|
Sharma, Rajendra K. |
| Author:
|
Mittal, Gaurav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
1-10 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give the characterization of the unit group of $\mathbb {F}_qSL(2, \mathbb {Z}_5)$, where $\mathbb {F}_q$ is a finite field with $q = p^k$ elements for prime $p > 5,$ and $SL(2, \mathbb {Z}_5)$ denotes the special linear group of $2 \times 2$ matrices having determinant $1$ over the cyclic group $\mathbb {Z}_5$. (English) |
| Keyword:
|
unit group |
| Keyword:
|
finite field |
| Keyword:
|
Wedderburn decomposition |
| MSC:
|
16U60 |
| MSC:
|
20C05 |
| idZBL:
|
Zbl 07547237 |
| idMR:
|
MR4387464 |
| DOI:
|
10.21136/MB.2021.0104-20 |
| . |
| Date available:
|
2022-04-17T18:05:51Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149589 |
| . |
| Reference:
|
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