| Title:
|
Characterization by intersection graph of some families of finite nonsimple groups (English) |
| Author:
|
Shahsavari, Hossein |
| Author:
|
Khosravi, Behrooz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
191-209 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a finite group $G$, $\Gamma (G)$, the intersection graph of $G$, is a simple graph whose vertices are all nontrivial proper subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent when $H\cap K\neq 1$. In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs. (English) |
| Keyword:
|
intersection graph |
| Keyword:
|
leaf |
| Keyword:
|
nonsimple group |
| Keyword:
|
characterization |
| MSC:
|
05C25 |
| MSC:
|
20D99 |
| idZBL:
|
07332712 |
| idMR:
|
MR4226477 |
| DOI:
|
10.21136/CMJ.2020.0250-19 |
| . |
| Date available:
|
2021-03-12T16:13:02Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148735 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
