| Title:
|
A new characterization for the simple group ${\rm PSL}(2,p^2)$ by order and some character degrees (English) |
| Author:
|
Khosravi, Behrooz |
| Author:
|
Khosravi, Behnam |
| Author:
|
Khosravi, Bahman |
| Author:
|
Momen, Zahra |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
271-280 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of order $|{\rm PSL}(2,p^2)|$ such that $G$ has an irreducible character of degree $p^2$ and we know that $G$ has no irreducible character $\theta $ such that $2p\mid \theta (1)$, then $G$ is isomorphic to ${\rm PSL}(2,p^2)$. As a consequence of our result we prove that ${\rm PSL}(2,p^2)$ is uniquely determined by the structure of its complex group algebra. (English) |
| Keyword:
|
character degree |
| Keyword:
|
order |
| Keyword:
|
projective special linear group |
| MSC:
|
20C15 |
| MSC:
|
20C33 |
| MSC:
|
20D05 |
| MSC:
|
20D06 |
| MSC:
|
20D60 |
| idZBL:
|
Zbl 06433734 |
| idMR:
|
MR3336038 |
| DOI:
|
10.1007/s10587-015-0173-6 |
| . |
| Date available:
|
2015-04-01T12:45:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144226 |
| . |
| Reference:
|
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| . |
