| Title:
|
A characterization property of the simple group ${\rm PSL}\sb 4(5)$ by the set of its element orders (English) |
| Author:
|
Darafsheh, Mohammad Reza |
| Author:
|
Farjami, Yaghoub |
| Author:
|
Sadrudini, Abdollah |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
31-37 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\omega (G)$ denote the set of element orders of a finite group $G$. If $H$ is a finite non-abelian simple group and $\omega (H)=\omega (G)$ implies $G$ contains a unique non-abelian composition factor isomorphic to $H$, then $G$ is called quasirecognizable by the set of its element orders. In this paper we will prove that the group $PSL_{4}(5)$ is quasirecognizable. (English) |
| Keyword:
|
projective special linear group |
| Keyword:
|
element order |
| MSC:
|
20D06 |
| MSC:
|
20D60 |
| idZBL:
|
Zbl 1156.20013 |
| idMR:
|
MR2310122 |
| . |
| Date available:
|
2008-06-06T22:50:24Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108047 |
| . |
| Reference:
|
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