| Title:
|
Summands of finite group algebras (English) |
| Author:
|
Dietzel, Carsten |
| Author:
|
Mittal, Gaurav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
1011-1014 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras. (English) |
| Keyword:
|
Wedderburn decomposition |
| Keyword:
|
group algebra |
| MSC:
|
20C05 |
| idZBL:
|
Zbl 07442469 |
| idMR:
|
MR4339106 |
| DOI:
|
10.21136/CMJ.2020.0171-20 |
| . |
| Date available:
|
2021-11-08T15:58:39Z |
| Last updated:
|
2024-01-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149233 |
| . |
| Reference:
|
[1] Milies, C. Polcino, Sehgal, S. K.: An Introduction to Group Rings.Algebras and Applications 1. Kluwer Academic Publishers, Dordrecht (2002). Zbl 0997.20003, MR 1896125 |
| Reference:
|
[2] Serre, J.-P.: Linear Representations of Finite Groups.Graduate Texts in Mathematics 42. Springer, New York (1977). Zbl 0355.20006, MR 0450380, 10.1007/978-1-4684-9458-7 |
| . |
