| Title:
|
Characterizing projective general unitary groups ${\rm PGU}_3(q^2)$ by their complex group algebras (English) |
| Author:
|
Shirjian, Farrokh |
| Author:
|
Iranmanesh, Ali |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
3 |
| Year:
|
2017 |
| Pages:
|
819-826 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group. Let $X_1(G)$ be the first column of the ordinary character table of $G$. We will show that if $X_1(G)=X_1({\rm PGU}_3(q^2))$, then $G \cong {\rm PGU}_3(q^2)$. As a consequence, we show that the projective general unitary groups ${\rm PGU}_3(q^2)$ are uniquely determined by the structure of their complex group algebras. (English) |
| Keyword:
|
character degree |
| Keyword:
|
complex group algebra |
| Keyword:
|
projective general unitary group |
| MSC:
|
20C15 |
| MSC:
|
20G40 |
| idZBL:
|
Zbl 06770133 |
| idMR:
|
MR3697919 |
| DOI:
|
10.21136/CMJ.2017.0194-16 |
| . |
| Date available:
|
2017-09-01T12:26:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146862 |
| . |
| Reference:
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