| Title:
|
A new characterization of Mathieu groups (English) |
| Author:
|
Shao, Changguo |
| Author:
|
Jiang, Qinhui |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
13-23 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group and $\operatorname{nse}(G)$ the set of numbers of elements with the same order in $G$. In this paper, we prove that a finite group $G$ is isomorphic to $M$, where $M$ is one of the Mathieu groups, if and only if the following hold:
(1) $|G|=|M|$,
(2) $\operatorname{nse}(G)=\operatorname{nse}(M)$. (English) |
| Keyword:
|
finite group |
| Keyword:
|
solvable group |
| Keyword:
|
order of element |
| MSC:
|
20D06 |
| MSC:
|
20D60 |
| idZBL:
|
Zbl 1227.20007 |
| idMR:
|
MR2644451 |
| . |
| Date available:
|
2010-04-22T10:41:08Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/139992 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
