| Title:
|
On the derived length of units in group algebra (English) |
| Author:
|
Chaudhuri, Dishari |
| Author:
|
Saikia, Anupam |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
3 |
| Year:
|
2017 |
| Pages:
|
855-865 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group $G$, $K$ a field of characteristic $p\geq 17$ and let $U$ be the group of units in $KG$. We show that if the derived length of $U$ does not exceed $4$, then $G$ must be abelian. (English) |
| Keyword:
|
group algebra |
| Keyword:
|
group of units |
| Keyword:
|
derived subgroup |
| MSC:
|
16S34 |
| MSC:
|
16U60 |
| idZBL:
|
Zbl 06770136 |
| idMR:
|
MR3697922 |
| DOI:
|
10.21136/CMJ.2017.0205-16 |
| . |
| Date available:
|
2017-09-01T12:28:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146865 |
| . |
| Reference:
|
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| . |
