| Title:
|
Finite groups with some SS-supplemented subgroups (English) |
| Author:
|
Jiang, Mengling |
| Author:
|
Liu, Jianjun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
837-846 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A subgroup $H$ of a finite group $G$ is said to be SS-supplemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K$ is S-quasinormal in $K$. We analyze how certain properties of SS-supplemented subgroups influence the structure of finite groups. Our results improve and generalize several recent results. (English) |
| Keyword:
|
SS-supplemented subgroup |
| Keyword:
|
maximal subgroup |
| Keyword:
|
solvable group |
| Keyword:
|
minimal subgroup |
| MSC:
|
20D10 |
| MSC:
|
20D20 |
| idZBL:
|
07396201 |
| idMR:
|
MR4295249 |
| DOI:
|
10.21136/CMJ.2021.0110-20 |
| . |
| Date available:
|
2021-08-02T08:08:30Z |
| Last updated:
|
2023-10-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149060 |
| . |
| Reference:
|
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| . |
